Function

Problem 6101

Find the value of $f(-2)$ if $f(x)=4x+4$ .

See Solution

Problem 6102

Evaluate $f(x)=\frac{1}{2} x$ for $f(0)$ , $f(10)$ , and $f(-10)$ . What are the results?

See Solution

Problem 6103

Find the value of $g(0)$ for the function $g(x)=-4 x^{2}+2 x+3$ .

See Solution

Problem 6104

Find the price per bushel of corn using $p(x)=6+0.08 x+0.09 x^{2}$ for $x=0$ to $5$ .

See Solution

Problem 6105

Next week, you charged \$9 per guest with 39 guests on average. Find:
(a) The linear demand equation $q(p)=$ (b) The revenue function $R(p)=$ (c) The cost function $C(p)=-25.5p+488$

See Solution

Problem 6106

Find $f(0)$ for the function $f(x)=\frac{1}{2} x$ .

See Solution

Problem 6107

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ (two values, rounded to two decimals).

See Solution

Problem 6108

Given sales and prices for Q1 2009 and 2010, find the linear demand function $q(p)$ and predict sales at \$75. For each \$1 price increase, how many units decrease?

See Solution

Problem 6109

Calculate the annual straight-line depreciation $D$ for an item costing \ $15,963 with a life of 13 years:$ D=(1/n)x$.

See Solution

Problem 6110

Evaluate the function $h(x)=-x^{2}$ for: a. $h(-8)$ , b. $h\left(-\frac{1}{2}\right)$ , c. $h\left(\frac{1}{2}\right)$ .

See Solution

Problem 6111

Find values of the constant function $f(x)=9$ : a. $f(5)$ , b. $f(0)$ , c. $f(153)$ . What are these values?

See Solution

Problem 6112

Evaluate the function $f(x)=0.8 x^{2}-1.6 x+5.3$ at $x=2$ , $x=-2$ , and $x=2.3$ . What are the results?

See Solution

Problem 6113

Find the annual straight-line depreciation for an item costing \ $15,963 with a life of 13 years. Use$ D=(1/n)x$.

See Solution

Problem 6114

Find the linear demand function for cell phones using the 2009 and 2010 data. Predict sales at \$156 and state the decrease per \$1 increase.
$q(p)=$

See Solution

Problem 6115

Predict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

See Solution

Problem 6116

Find the inverse function $f^{-1}(x)$ for $f(x) = 2x + 16$ . What is $f^{-1}(x)$ ?

See Solution

Problem 6117

Find the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

See Solution

Problem 6118

Find the inverse function $f^{-1}(x)$ if $f(x) = \frac{x}{4} - 5$ . What is $f^{-1}(x) = [?] x + []$ ?

See Solution

Problem 6119

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900.
(a) Find the cost function $C(x)=$ . (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

See Solution

Problem 6120

Identify which function opens upward: $y=-2 x^{2}+x+3$ or $f(x)=0.5 x^{2}-x-1$ .

See Solution

Problem 6121

Identify which function opens downward: $f(x)=0.5 x^{2}-10 x-110$ or $f(x)=-x^{2}+33 x$ .

See Solution

Problem 6122

Find the axis of symmetry for the function $f(x)=2 x^{2}-3 x+6$ using $x=\frac{-b}{2 a}$ . What is the value?

See Solution

Problem 6123

Find the axis of symmetry for $f(x)=8 x^{2}+6 x+19$ using $x=\frac{-b}{2 a}$ . Enter $x=[?] \frac{[]}{[]}$ .

See Solution

Problem 6124

Given \$7,500:
(a) Create a linear function for development fee $p$ based on contracts $q$ :
p(q)=
(b) Find total revenue $R$ from $q$ contracts:
R(q)=
(c) Monthly costs: Fixed: \ $150,000, Variable: \$1,500q. Cost function$ C(q)=
(d) Profit function $P(q)=
(e) Find break-even contracts signed: ISeeYou breaks even at contracts.

See Solution

Problem 6125

Find the vertex of the function $f(x)=-(x+5)^{2}+1$ . Use vertex form $y=a(x-h)^{2}+k$ .

See Solution

Problem 6126

Find the vertex of the quadratic function $y=-3(x-5)^{2}+8$ . Use the vertex form $y=a(x-h)^{2}+k$ .

See Solution

Problem 6127

Given the function $f(x) = x^{2} - 2x - 3$ , find missing values for $f(x)$ in the table with $x$ values -1, 0, 1, 2, 3.

See Solution

Problem 6128

Factor the quadratic function $f(x)=x^{2}+14x+48$ and find the value of $x$ that fits: $x=-8 ; x=[?]$ .

See Solution

Problem 6129

ISeeYou charges \$7,500.
(a) Create a linear function for the fee $p$ for $q$ contracts: $p(q)=$ . (b) Determine total revenue $R$ from $q$ contracts: $R(q)=$ . (c) Monthly costs: Fixed \ $150,000, Variable \$1,500 per contract. Find cost function:$ C(q)=$.

See Solution

Problem 6130

A pebble falls from a height of $2,304 \mathrm{ft}$ . Find the time $t$ when $h(t) = -16t^{2} + 2304 = 0$ .

See Solution

Problem 6131

Find the starting point of the function $f(x)=\sqrt{x-4}+7$ on the coordinate plane. What is the ordered pair?

See Solution

Problem 6132

Find the inverse of the function $f(x)=3x+9$ . What is $f^{-1}(x)=\frac{x}{[?]}+$ ?

See Solution

Problem 6133

Find the inverse function $f^{-1}(x)$ for $f(x) = \frac{x}{9} + 1$ . What is $f^{-1}(x) = [?] x + []$ ?

See Solution

Problem 6134

Find the starting point of the function $f(x)=\sqrt{x+2}-2$ on the coordinate plane. $([?],[])$

See Solution

Problem 6135

Next week, you charged \$9 per guest with an average of 39 guests.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees, rounded to two decimal places.

See Solution

Problem 6136

Given cell phone sales and prices for Q1 2009 and 2010, find the demand function $q(p)$ . Predict sales at \$156. Also, determine the sales decrease per \$1 price increase.

See Solution

Problem 6137

Next week, you charged \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find the revenue function $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Find break-even entrance fees, rounding to two decimal places.

See Solution

Problem 6138

Find the y-intercept of $f(x)=\frac{x^{2}-4}{x+2}$ .

See Solution

Problem 6139

Determine the oblique asymptote for the function $f(x)=\frac{x^{2}-4}{x+2}$ .

See Solution

Problem 6140

Determine the vertical asymptote of $f(x)=\frac{x^{2}-4}{x+2}$ .

See Solution

Problem 6141

Determine the horizontal asymptote for the function $f(x)=\frac{x^{2}-4}{x+2}$ .

See Solution

Problem 6142

Find the holes in the rational function $f(x)=\frac{x^{2}-4}{x+2}$ . If none, state 'none'.

See Solution

Problem 6143

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ .

See Solution

Problem 6144

Calculate the value of $\log _{5} 125$ .

See Solution

Problem 6145

Find the derivative of $f(x) = 5x^2$ .

See Solution

Problem 6146

Evaluate $\log _{3} 25$ using the Change-of-Base Formula and round to two decimal places.

See Solution

Problem 6147

RideEm Bicycles produces 170 bikes for \ $10,300 and 190 bikes for \$10,900. Find the cost function$ C(x)$ and fixed/variable costs.

See Solution

Problem 6148

Find the domain of the function $f(x)=\log _{3}(x-9)^{2}$ .

See Solution

Problem 6149

Calculate the value of $\log _{8} \frac{1}{64}$ .

See Solution

Problem 6150

Find the exact value of $\ln \mathrm{e}$ .

See Solution

Problem 6151

Determine the domain of the function $f(x)=\log (x+6)$ .

See Solution

Problem 6152

Combine the logarithms: $\log_{c} q + \log_{c} r$ as a single logarithm.

See Solution

Problem 6153

Find points A, B, and C on $y=\frac{\sqrt{3}}{6} x^{2}$ such that $\angle OPA = \angle OPB = 30^{\circ}$ and $\angle ABC = 60^{\circ}$ .

See Solution

Problem 6154

原点Oと点P(-3/2, 0)があり、曲線 $y=\frac{\sqrt{3}}{6} x^{2}$ 上の点A, B, Cを求める問題。 (1) A, B, Cの座標 (2) 円の中心座標 (3) Bの接線の式 (4) Bのみが両方にあることを示せ。

See Solution

Problem 6155

Find the $x$ intercept(s) of the function $f(x)=2 x^{2}-8 x+6$ .

See Solution

Problem 6156

Show that $f(x)=x^{2}-6x+1$ on [1,3] meets Lagrange's theorem. Find where the tangent is parallel to the line joining A(1,-4) and B(3,-8).

See Solution

Problem 6157

How much do 11 toy parts cost if 2 parts are \$0.90, 7 parts are \$3.15, 12 parts are \$5.40, and 15 parts are \$6.75?

See Solution

Problem 6158

Find the derivative of $y=x^{2}+3(4x^{2}+2)^{4}$ .

See Solution

Problem 6159

For the function $f(x)=x^{2}+4 x$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

See Solution

Problem 6160

Analyze the function $f(x)=x^{2}+8x$ : find if it opens up/down, vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 6161

Find x-intercepts, y-intercept, domain, range of $f(x) = x^2 + 4x$ , and graph the function.

See Solution

Problem 6162

Graph the quadratic function $f(x)=x^{2}+8x$ : find vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts. Does it open up or down?

See Solution

Problem 6163

For the function $f(x)=x^{2}-8x$ , find the x-intercepts and y-intercept. What are they?

See Solution

Problem 6164

For the function $f(x)=x^{2}-8 x$ , determine if it opens up or down, and find its vertex and intercepts.

See Solution

Problem 6165

Miss Ma's income rises by 6% from \$420000. Calculate the percentage change in her salaries tax payable with fixed allowances.

See Solution

Problem 6166

Find the 2014 annual rates for a flat with a 2.5% yearly increase, starting from \$5200 per quarter in 2008.

See Solution

Problem 6167

Miss Lee's tax is \$4500. Find her net chargeable income using the tax rates: 2\% for \$40000, 7\% for next \$40000, 12\% for next \$40000, and 17\% for the rest. Round to the nearest dollar.

See Solution

Problem 6168

Find the derivatives of these functions: 1. $y=e^{-x}$ , 2. $y=e^{x+1}$ , 3. $y=\frac{1}{e^{5x}}$ .

See Solution

Problem 6169

For the function $f(x)=-x^{2}+8x$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

See Solution

Problem 6170

Dimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

See Solution

Problem 6171

For the function $f(x)=-x^{2}+8x$ , find the $y$ -intercept and state the domain and range in interval notation.

See Solution

Problem 6172

Analyze the function $L = 2\cos(x) + 1$ and describe its general behavior.

See Solution

Problem 6173

Graph the function $f(x)=-x^{2}+6x$ : determine if it opens up or down, and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 6174

For the function $f(x)=-x^{2}+8x$ , find the $x$ -intercepts, $y$ -intercept, domain, and range.

See Solution

Problem 6175

A car worth \ $22,500 decreases by \$3200 per year for 6 years. Define$ V(x) $for$ 0 \leq x \leq 6 $and find$ V(3)$.

See Solution

Problem 6176

Graph the pool emptying rate function to find the time to empty it. Transform $f(x) = |x - 1| + 3$ with a horizontal shrink by $\frac{1}{3}$ .

See Solution

Problem 6177

Explain how the function $f(x)=2|x+3|$ transforms from its parent function. (10 points)

See Solution

Problem 6178

Is the cost of copies ( $5.20,$ 6.50, $9.76) proportional to the number of copies (260, 325, 488)? Predict cost for 600 copies.

See Solution

Problem 6179

Is the cost of copies proportional to the number? If yes, find cost for 600 copies; if no, write NO SOLUTION.

See Solution

Problem 6180

Find the tangent line equation for the function $f(x)=e^{-x} \ln (x)$ at the point $(1,0)$ .

See Solution

Problem 6181

Is the Celsius temperature proportional to Fahrenheit? Use the formula $F = \frac{9}{5}C + 32$ for conversion.

See Solution

Problem 6182

Evaluate: 4. $6(12+4)$ , 5. $10+4($ ; Decompose each rectangle into smaller rectangles.

See Solution

Problem 6183

Find the inverse function $f^{-1}(x)$ for $f(x)=\frac{4 x+6}{5 x+3}$ .

See Solution

Problem 6184

Find the inverse function $f^{-1}(x)$ for $f(x)=\frac{2x+3}{x-5}$ .

See Solution

Problem 6185

Is the fee for ride tickets proportional to the number of tickets? Analyze the values for $5, 10, 15, 20$ tickets.

See Solution

Problem 6186

Evaluate the piecewise function $f(x)=\left\{\begin{array}{lll}3 x+5 & \text { if } & x<0 \\ 4 x+7 & \text { if } & x \geq 0\end{array}\right.$ for $f(-2)$ , $f(0)$ , and $f(3)$ .

See Solution

Problem 6187

Calculate the atomic mass of chlorine given isotopes: $91.51\%$ of ${ }^{35} \mathrm{Cl}$ ( $34.97 \mathrm{amu}$ ) and $24.57\%$ of ${ }^{37} \mathrm{Cl}$ ( $36.97 \mathrm{amu}$ ).

See Solution

Problem 6188

Find a domain where the function $f(x)=x^{2}-9$ is one-to-one and non-decreasing, then find its inverse.

See Solution

Problem 6189

Calculate the time (in years) for R7 520 to grow to R9 841,80 at a simple interest rate of $9,5 \%$ . Options: a. 0,33 b. 13,78 c. 2,48 d. 3,25.

See Solution

Problem 6190

A firm needs to deposit now to pay R6,285 per coffee machine in 4 months with $8\%$ annual simple interest. How much?

See Solution

Problem 6191

What is the horizontal change between two points on a line? A. Run B. Rise C. Height D. Altitude

See Solution

Problem 6192

Graph $f(x) = -x^2 - 8x$ : Determine if it opens up/down, find vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 6193

This table contains a pattern. A two row table is shown. \begin{tabular}{|l|l|l|l|l|l|} \hline Bicycles & 1 & 2 & 3 & 4 & 5 \\ \hline Wheels & 2 & 4 & 6 & & \\ \hline \end{tabular}
What 2 numbers will correctly extend the pattern?

See Solution

Problem 6194

Your answer is incorrect. The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of $5.6 \mathrm{~mm}^{2}$ and an observed doubling time of 5 minutes. (a) Let $t$ be the time (in minutes) passed, and let $y$ be the area of the sample at time $t$ . Write a formula relating $y$ to $t$ . Use exact expressions to fill in the missing parts of the formula. Do not use approximations. $y=5.6 e^{\left(\frac{\ln 2}{5}\right) t}$ (b) What will the area of the sample be in 22 minutes?
Do not round any intermediate computations, and round your answer to the nearest tenth. $179.2 \mathrm{~mm}^{2}$

See Solution

Problem 6195

(c) You are given the point $(3,2)$ in polar coordinates. (i) Find another pair of polar coordinates for this point such that $r>0$ and $2 \pi \leq \theta<4 \pi$ . $r=$ $\theta=$ (ii) Find another pair of polar coordinates for this point such that $r<0$ and $0 \leq \theta<2 \pi$ . $\begin{array}{c} r= \\ \theta= \end{array}$

See Solution

Problem 6196

The logistic growth function $\mathrm{P}(\mathrm{x})=\frac{90}{1+271 e^{-0.122 x}}$ models the percentage, $\mathrm{P}(\mathrm{x})$ , of Americans who are x years old and have some coronary heart disease. Use this function to find the age at which the percentage of Americans who have some coronary heart disease is $49 \%$ .
What is the age at which $49 \%$ of Americans have some coronary heart disease? $\square$ years old (Round to the nearest integer.)

See Solution

Problem 6197

Short Answer
6. a) Determine the slope of the line that passes through the point: $(-2,-3)$ and $(5,4)$ .

See Solution

Problem 6198

ng and reasoning. MEDIUM O Write a sinusoidal equation that has the following characteristics: The midline is at y = 5 The length of one period is 60° y= 4 sin ②x-60°).

See Solution

Problem 6199

List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use. $f(\theta)=4 \cos (\theta)+2 \sin ^{2}(\theta),-\pi \leq \theta \leq \pi$ $\square$

See Solution

Problem 6200

\begin{align} \text{Pour l'équation } y = -3 \cos \left(2\left(x + 45^{\circ}\right)\right) + 2, \\ \text{trouver les valeurs de BERT qui permettent de tracer le graphique.} \\ \text{Donnez les nombres exacts pour chaque B, E, R, T.} \end{align}

See Solution

1 ...59 60 61 62 63 64 65 ...103

Function

Problem 6101

Find the value of f(−2)f(-2)f(−2) if f(x)=4x+4f(x)=4x+4f(x)=4x+4.

Problem 6102

Evaluate f(x)=12xf(x)=\frac{1}{2} xf(x)=21​x for f(0)f(0)f(0), f(10)f(10)f(10), and f(−10)f(-10)f(−10). What are the results?

Problem 6103

Find the value of g(0)g(0)g(0) for the function g(x)=−4x2+2x+3g(x)=-4 x^{2}+2 x+3g(x)=−4x2+2x+3.

Problem 6104

Find the price per bushel of corn using p(x)=6+0.08x+0.09x2p(x)=6+0.08 x+0.09 x^{2}p(x)=6+0.08x+0.09x2 for x=0x=0x=0 to 555.

Problem 6105

Next week, you charged \$9 per guest with 39 guests on average. Find:(a) The linear demand equation q(p)=q(p)=q(p)= (b) The revenue function R(p)=R(p)=R(p)= (c) The cost function C(p)=−25.5p+488C(p)=-25.5p+488C(p)=−25.5p+488

Problem 6106

Find f(0)f(0)f(0) for the function f(x)=12xf(x)=\frac{1}{2} xf(x)=21​x.

Problem 6107

Problem 6108

Given sales and prices for Q1 2009 and 2010, find the linear demand function q(p)q(p)q(p) and predict sales at \$75. For each \$1 price increase, how many units decrease?

Problem 6109

Calculate the annual straight-line depreciation DDD for an item costing \15,963withalifeof13years:15,963 with a life of 13 years: 15,963withalifeof13years:D=(1/n)x$.

Problem 6110

Evaluate the function h(x)=−x2h(x)=-x^{2}h(x)=−x2 for: a. h(−8)h(-8)h(−8), b. h(−12)h\left(-\frac{1}{2}\right)h(−21​), c. h(12)h\left(\frac{1}{2}\right)h(21​).

Problem 6111

Find values of the constant function f(x)=9f(x)=9f(x)=9: a. f(5)f(5)f(5), b. f(0)f(0)f(0), c. f(153)f(153)f(153). What are these values?

Problem 6112

Evaluate the function f(x)=0.8x2−1.6x+5.3f(x)=0.8 x^{2}-1.6 x+5.3f(x)=0.8x2−1.6x+5.3 at x=2x=2x=2, x=−2x=-2x=−2, and x=2.3x=2.3x=2.3. What are the results?

Problem 6113

Find the annual straight-line depreciation for an item costing \15,963withalifeof13years.Use15,963 with a life of 13 years. Use 15,963withalifeof13years.UseD=(1/n)x$.

Problem 6114

Find the linear demand function for cell phones using the 2009 and 2010 data. Predict sales at \$156 and state the decrease per \$1 increase. q(p)= q(p)= q(p)=

Problem 6115

Predict diamond production using f(x)=−3.09x+148.37f(x)=-3.09 x+148.37f(x)=−3.09x+148.37 for 2026, where xxx is years after 2017. Result: \$ \square billion.

Problem 6116

Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=2x+16f(x) = 2x + 16f(x)=2x+16. What is f−1(x)f^{-1}(x)f−1(x)?

Problem 6117

Find the cost to manufacture each additional Kinect using C(x)=150x+30C(x)=150x+30C(x)=150x+30. Estimate the cost for 37 Kinects.

Problem 6118

Find the inverse function f−1(x)f^{-1}(x)f−1(x) if f(x)=x4−5f(x) = \frac{x}{4} - 5f(x)=4x​−5. What is f−1(x)=[?]x+[]f^{-1}(x) = [?] x + []f−1(x)=[?]x+[]?

Problem 6119

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900. (a) Find the cost function C(x)=C(x)=C(x)=. (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

Problem 6120

Identify which function opens upward: y=−2x2+x+3y=-2 x^{2}+x+3y=−2x2+x+3 or f(x)=0.5x2−x−1f(x)=0.5 x^{2}-x-1f(x)=0.5x2−x−1.

Problem 6121

Identify which function opens downward: f(x)=0.5x2−10x−110f(x)=0.5 x^{2}-10 x-110f(x)=0.5x2−10x−110 or f(x)=−x2+33xf(x)=-x^{2}+33 xf(x)=−x2+33x.

Problem 6122

Find the axis of symmetry for the function f(x)=2x2−3x+6f(x)=2 x^{2}-3 x+6f(x)=2x2−3x+6 using x=−b2ax=\frac{-b}{2 a}x=2a−b​. What is the value?

Problem 6123

Find the axis of symmetry for f(x)=8x2+6x+19f(x)=8 x^{2}+6 x+19f(x)=8x2+6x+19 using x=−b2ax=\frac{-b}{2 a}x=2a−b​. Enter x=[?][][]x=[?] \frac{[]}{[]}x=[?][][]​.

Problem 6124

Problem 6125

Find the vertex of the function f(x)=−(x+5)2+1f(x)=-(x+5)^{2}+1f(x)=−(x+5)2+1. Use vertex form y=a(x−h)2+ky=a(x-h)^{2}+ky=a(x−h)2+k.

Problem 6126

Find the vertex of the quadratic function y=−3(x−5)2+8y=-3(x-5)^{2}+8y=−3(x−5)2+8. Use the vertex form y=a(x−h)2+ky=a(x-h)^{2}+ky=a(x−h)2+k.

Problem 6127

Given the function f(x)=x2−2x−3f(x) = x^{2} - 2x - 3f(x)=x2−2x−3, find missing values for f(x)f(x)f(x) in the table with xxx values -1, 0, 1, 2, 3.

Problem 6128

Factor the quadratic function f(x)=x2+14x+48f(x)=x^{2}+14x+48f(x)=x2+14x+48 and find the value of xxx that fits: x=−8;x=[?]x=-8 ; x=[?]x=−8;x=[?].

Problem 6129

Problem 6130

A pebble falls from a height of 2,304ft2,304 \mathrm{ft}2,304ft. Find the time ttt when h(t)=−16t2+2304=0h(t) = -16t^{2} + 2304 = 0h(t)=−16t2+2304=0.

Problem 6131

Find the starting point of the function f(x)=x−4+7f(x)=\sqrt{x-4}+7f(x)=x−4​+7 on the coordinate plane. What is the ordered pair?

Problem 6132

Find the inverse of the function f(x)=3x+9f(x)=3x+9f(x)=3x+9. What is f−1(x)=x[?]+f^{-1}(x)=\frac{x}{[?]}+f−1(x)=[?]x​+?

Problem 6133

Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=x9+1f(x) = \frac{x}{9} + 1f(x)=9x​+1. What is f−1(x)=[?]x+[]f^{-1}(x) = [?] x + []f−1(x)=[?]x+[]?

Problem 6134

Find the starting point of the function f(x)=x+2−2f(x)=\sqrt{x+2}-2f(x)=x+2​−2 on the coordinate plane. ([?],[])([?],[])([?],[])

Problem 6135

Problem 6136

Given cell phone sales and prices for Q1 2009 and 2010, find the demand function q(p)q(p)q(p). Predict sales at \$156. Also, determine the sales decrease per \$1 price increase.

Problem 6137

Problem 6138

Find the y-intercept of f(x)=x2−4x+2f(x)=\frac{x^{2}-4}{x+2}f(x)=x+2x2−4​.

Problem 6139

Determine the oblique asymptote for the function f(x)=x2−4x+2f(x)=\frac{x^{2}-4}{x+2}f(x)=x+2x2−4​.

Problem 6140

Determine the vertical asymptote of f(x)=x2−4x+2f(x)=\frac{x^{2}-4}{x+2}f(x)=x+2x2−4​.

Problem 6141

Determine the horizontal asymptote for the function f(x)=x2−4x+2f(x)=\frac{x^{2}-4}{x+2}f(x)=x+2x2−4​.

Problem 6142

Find the holes in the rational function f(x)=x2−4x+2f(x)=\frac{x^{2}-4}{x+2}f(x)=x+2x2−4​. If none, state 'none'.

Find the value of $f(-2)$ if $f(x)=4x+4$ .

Evaluate $f(x)=\frac{1}{2} x$ for $f(0)$ , $f(10)$ , and $f(-10)$ . What are the results?

Find the value of $g(0)$ for the function $g(x)=-4 x^{2}+2 x+3$ .

Find the price per bushel of corn using $p(x)=6+0.08 x+0.09 x^{2}$ for $x=0$ to $5$ .

Next week, you charged \$9 per guest with 39 guests on average. Find:
(a) The linear demand equation $q(p)=$ (b) The revenue function $R(p)=$ (c) The cost function $C(p)=-25.5p+488$

Find $f(0)$ for the function $f(x)=\frac{1}{2} x$ .

Given sales and prices for Q1 2009 and 2010, find the linear demand function $q(p)$ and predict sales at \$75. For each \$1 price increase, how many units decrease?

Calculate the annual straight-line depreciation $D$ for an item costing \ $15,963 with a life of 13 years:$ D=(1/n)x$.

Evaluate the function $h(x)=-x^{2}$ for: a. $h(-8)$ , b. $h\left(-\frac{1}{2}\right)$ , c. $h\left(\frac{1}{2}\right)$ .

Find values of the constant function $f(x)=9$ : a. $f(5)$ , b. $f(0)$ , c. $f(153)$ . What are these values?

Evaluate the function $f(x)=0.8 x^{2}-1.6 x+5.3$ at $x=2$ , $x=-2$ , and $x=2.3$ . What are the results?

Find the annual straight-line depreciation for an item costing \ $15,963 with a life of 13 years. Use$ D=(1/n)x$.

Find the linear demand function for cell phones using the 2009 and 2010 data. Predict sales at \$156 and state the decrease per \$1 increase.
$q(p)=$

Predict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

Find the inverse function $f^{-1}(x)$ for $f(x) = 2x + 16$ . What is $f^{-1}(x)$ ?

Find the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

Find the inverse function $f^{-1}(x)$ if $f(x) = \frac{x}{4} - 5$ . What is $f^{-1}(x) = [?] x + []$ ?

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900.
(a) Find the cost function $C(x)=$ . (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

Identify which function opens upward: $y=-2 x^{2}+x+3$ or $f(x)=0.5 x^{2}-x-1$ .

Identify which function opens downward: $f(x)=0.5 x^{2}-10 x-110$ or $f(x)=-x^{2}+33 x$ .

Find the axis of symmetry for the function $f(x)=2 x^{2}-3 x+6$ using $x=\frac{-b}{2 a}$ . What is the value?

Find the axis of symmetry for $f(x)=8 x^{2}+6 x+19$ using $x=\frac{-b}{2 a}$ . Enter $x=[?] \frac{[]}{[]}$ .

Find the vertex of the function $f(x)=-(x+5)^{2}+1$ . Use vertex form $y=a(x-h)^{2}+k$ .

Find the vertex of the quadratic function $y=-3(x-5)^{2}+8$ . Use the vertex form $y=a(x-h)^{2}+k$ .

Given the function $f(x) = x^{2} - 2x - 3$ , find missing values for $f(x)$ in the table with $x$ values -1, 0, 1, 2, 3.

Factor the quadratic function $f(x)=x^{2}+14x+48$ and find the value of $x$ that fits: $x=-8 ; x=[?]$ .

A pebble falls from a height of $2,304 \mathrm{ft}$ . Find the time $t$ when $h(t) = -16t^{2} + 2304 = 0$ .

Find the starting point of the function $f(x)=\sqrt{x-4}+7$ on the coordinate plane. What is the ordered pair?

Find the inverse of the function $f(x)=3x+9$ . What is $f^{-1}(x)=\frac{x}{[?]}+$ ?

Find the inverse function $f^{-1}(x)$ for $f(x) = \frac{x}{9} + 1$ . What is $f^{-1}(x) = [?] x + []$ ?

Find the starting point of the function $f(x)=\sqrt{x+2}-2$ on the coordinate plane. $([?],[])$

Given cell phone sales and prices for Q1 2009 and 2010, find the demand function $q(p)$ . Predict sales at \$156. Also, determine the sales decrease per \$1 price increase.

Find the y-intercept of $f(x)=\frac{x^{2}-4}{x+2}$ .

Determine the oblique asymptote for the function $f(x)=\frac{x^{2}-4}{x+2}$ .

Determine the vertical asymptote of $f(x)=\frac{x^{2}-4}{x+2}$ .

Determine the horizontal asymptote for the function $f(x)=\frac{x^{2}-4}{x+2}$ .

Find the holes in the rational function $f(x)=\frac{x^{2}-4}{x+2}$ . If none, state 'none'.

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ .

Calculate the value of $\log _{5} 125$ .

Find the derivative of $f(x) = 5x^2$ .

Evaluate $\log _{3} 25$ using the Change-of-Base Formula and round to two decimal places.

RideEm Bicycles produces 170 bikes for \ $10,300 and 190 bikes for \$10,900. Find the cost function$ C(x)$ and fixed/variable costs.

Find the domain of the function $f(x)=\log _{3}(x-9)^{2}$ .

Calculate the value of $\log _{8} \frac{1}{64}$ .

Find the exact value of $\ln \mathrm{e}$ .

Determine the domain of the function $f(x)=\log (x+6)$ .

Combine the logarithms: $\log_{c} q + \log_{c} r$ as a single logarithm.

Find points A, B, and C on $y=\frac{\sqrt{3}}{6} x^{2}$ such that $\angle OPA = \angle OPB = 30^{\circ}$ and $\angle ABC = 60^{\circ}$ .

原点Oと点P(-3/2, 0)があり、曲線 $y=\frac{\sqrt{3}}{6} x^{2}$ 上の点A, B, Cを求める問題。 (1) A, B, Cの座標 (2) 円の中心座標 (3) Bの接線の式 (4) Bのみが両方にあることを示せ。

Find the $x$ intercept(s) of the function $f(x)=2 x^{2}-8 x+6$ .

Show that $f(x)=x^{2}-6x+1$ on [1,3] meets Lagrange's theorem. Find where the tangent is parallel to the line joining A(1,-4) and B(3,-8).

Find the derivative of $y=x^{2}+3(4x^{2}+2)^{4}$ .

For the function $f(x)=x^{2}+4 x$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

Analyze the function $f(x)=x^{2}+8x$ : find if it opens up/down, vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

Find x-intercepts, y-intercept, domain, range of $f(x) = x^2 + 4x$ , and graph the function.

Graph the quadratic function $f(x)=x^{2}+8x$ : find vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts. Does it open up or down?

For the function $f(x)=x^{2}-8x$ , find the x-intercepts and y-intercept. What are they?

For the function $f(x)=x^{2}-8 x$ , determine if it opens up or down, and find its vertex and intercepts.

Find the derivatives of these functions: 1. $y=e^{-x}$ , 2. $y=e^{x+1}$ , 3. $y=\frac{1}{e^{5x}}$ .

For the function $f(x)=-x^{2}+8x$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

For the function $f(x)=-x^{2}+8x$ , find the $y$ -intercept and state the domain and range in interval notation.

Analyze the function $L = 2\cos(x) + 1$ and describe its general behavior.

Graph the function $f(x)=-x^{2}+6x$ : determine if it opens up or down, and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

For the function $f(x)=-x^{2}+8x$ , find the $x$ -intercepts, $y$ -intercept, domain, and range.