Solved on Sep 05, 2023

Evaluate $f(x) = (x-5)^2$ for given $x$ , then graph the function using $(x, f(x))$ pairs.

STEP 1

Assumptions1. The function is given as $f(x)=(x-5)^{}$ . We are given three values for $x$ :3,4, and53. We need to evaluate $f(x)$ for each of these values of $x$
4. The ordered pairs $(x, f(x))$ will be used to graph the function

STEP 2

First, let's evaluate $f(x)$ for $x=$ . We do this by substituting $x=$ into the function.
$f() = (-5)^{2}$

STEP 3

Now, calculate $f(3)$ .
$f(3) = (3-5)^{2} = (-2)^{2} =$

STEP 4

Next, evaluate $f(x)$ for $x=4$ . We do this by substituting $x=4$ into the function.
$f(4) = (4-)^{2}$

STEP 5

Now, calculate $f(4)$ .
$f(4) = (4-5)^{2} = (-1)^{2} =1$

STEP 6

Finally, evaluate $f(x)$ for $x=5$ . We do this by substituting $x=5$ into the function.
$f(5) = (5-5)^{2}$

STEP 7

Now, calculate $f(5)$ .
$f(5) = (5-5)^{2} = (0)^{2} =0$

STEP 8

We now have the ordered pairs $(x, f(x))$ for each value of $x$ . They are1. $(3,4)$ 2. $(4,1)$ 3. $(5,0)$ These ordered pairs can be used to graph the function $f(x)=(x-5)^{2}$ .

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Evaluate $f(x) = (x-5)^2$ for given $x$ , then graph the function using $(x, f(x))$ pairs.

STEP 1

Assumptions1. The function is given as $f(x)=(x-5)^{}$ . We are given three values for $x$ :3,4, and53. We need to evaluate $f(x)$ for each of these values of $x$
4. The ordered pairs $(x, f(x))$ will be used to graph the function

STEP 2

First, let's evaluate $f(x)$ for $x=$ . We do this by substituting $x=$ into the function.
$f() = (-5)^{2}$

STEP 3

Now, calculate $f(3)$ .
$f(3) = (3-5)^{2} = (-2)^{2} =$

STEP 4

Next, evaluate $f(x)$ for $x=4$ . We do this by substituting $x=4$ into the function.
$f(4) = (4-)^{2}$

STEP 5

Now, calculate $f(4)$ .
$f(4) = (4-5)^{2} = (-1)^{2} =1$

STEP 6

Finally, evaluate $f(x)$ for $x=5$ . We do this by substituting $x=5$ into the function.
$f(5) = (5-5)^{2}$

STEP 7

Now, calculate $f(5)$ .
$f(5) = (5-5)^{2} = (0)^{2} =0$

STEP 8

We now have the ordered pairs $(x, f(x))$ for each value of $x$ . They are1. $(3,4)$ 2. $(4,1)$ 3. $(5,0)$ These ordered pairs can be used to graph the function $f(x)=(x-5)^{2}$ .

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Evaluate f(x)=(x−5)2f(x) = (x-5)^2f(x)=(x−5)2 for given xxx, then graph the function using (x,f(x))(x, f(x))(x,f(x)) pairs.

STEP 1

Assumptions1. The function is given as f(x)=(x−5)f(x)=(x-5)^{}f(x)=(x−5) . We are given three values for xxx:3,4, and53. We need to evaluate f(x)f(x)f(x) for each of these values of xxx4. The ordered pairs (x,f(x))(x, f(x))(x,f(x)) will be used to graph the function

STEP 2

First, let's evaluate f(x)f(x)f(x) for x=x=x=. We do this by substituting x=x=x= into the function.f()=(−5)2f() = (-5)^{2}f()=(−5)2

STEP 3

Now, calculate f(3)f(3)f(3).f(3)=(3−5)2=(−2)2=f(3) = (3-5)^{2} = (-2)^{2} =f(3)=(3−5)2=(−2)2=

STEP 4

Next, evaluate f(x)f(x)f(x) for x=4x=4x=4. We do this by substituting x=4x=4x=4 into the function.f(4)=(4−)2f(4) = (4-)^{2}f(4)=(4−)2

STEP 5

Now, calculate f(4)f(4)f(4).f(4)=(4−5)2=(−1)2=1f(4) = (4-5)^{2} = (-1)^{2} =1f(4)=(4−5)2=(−1)2=1

STEP 6

Finally, evaluate f(x)f(x)f(x) for x=5x=5x=5. We do this by substituting x=5x=5x=5 into the function.f(5)=(5−5)2f(5) = (5-5)^{2}f(5)=(5−5)2

STEP 7

Now, calculate f(5)f(5)f(5).f(5)=(5−5)2=(0)2=0f(5) = (5-5)^{2} = (0)^{2} =0f(5)=(5−5)2=(0)2=0

STEP 8

We now have the ordered pairs (x,f(x))(x, f(x))(x,f(x)) for each value of xxx. They are1. (3,4)(3,4)(3,4)2. (4,1)(4,1)(4,1)3. (5,0)(5,0)(5,0)These ordered pairs can be used to graph the function f(x)=(x−5)2f(x)=(x-5)^{2}f(x)=(x−5)2.

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Evaluate $f(x) = (x-5)^2$ for given $x$ , then graph the function using $(x, f(x))$ pairs.

Assumptions1. The function is given as $f(x)=(x-5)^{}$ . We are given three values for $x$ :3,4, and53. We need to evaluate $f(x)$ for each of these values of $x$
4. The ordered pairs $(x, f(x))$ will be used to graph the function

First, let's evaluate $f(x)$ for $x=$ . We do this by substituting $x=$ into the function.
$f() = (-5)^{2}$

Now, calculate $f(3)$ .
$f(3) = (3-5)^{2} = (-2)^{2} =$

Next, evaluate $f(x)$ for $x=4$ . We do this by substituting $x=4$ into the function.
$f(4) = (4-)^{2}$

Now, calculate $f(4)$ .
$f(4) = (4-5)^{2} = (-1)^{2} =1$

Finally, evaluate $f(x)$ for $x=5$ . We do this by substituting $x=5$ into the function.
$f(5) = (5-5)^{2}$

Now, calculate $f(5)$ .
$f(5) = (5-5)^{2} = (0)^{2} =0$

We now have the ordered pairs $(x, f(x))$ for each value of $x$ . They are1. $(3,4)$ 2. $(4,1)$ 3. $(5,0)$ These ordered pairs can be used to graph the function $f(x)=(x-5)^{2}$ .