Math / Algebra

QuestionUse a graphing calculator to approximate all real zeros of the function. $f(x)=0.79 x^{3}-6.54 x^{2}+1.3 x+7.4$

Studdy Solution

STEP 1

1. The function given is $f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$ .
2. We are tasked with finding the real zeros of the function using a graphing calculator.

STEP 2

1. Input the function into the graphing calculator.
2. Adjust the viewing window to capture the behavior of the graph.
3. Use the graphing calculator's zero-finding feature to approximate the real zeros.
4. Verify the zeros by checking the function values at these points.

STEP 3

Turn on the graphing calculator and access the function input screen. Enter the function:
$f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$

STEP 4

Adjust the viewing window to ensure the graph's behavior is visible. A good starting point might be:
- $x$ -range: from $-10$ to $10$ - $y$ -range: from $-20$ to $20$
This range can be adjusted based on the initial graph output.

STEP 5

Use the calculator's "zero" or "root" feature:
- Navigate to the graph screen. - Access the zero-finding tool (often found under the "Calc" menu). - Move the cursor near where the graph crosses the x-axis and follow the prompts to find the zero.
Repeat this process for each crossing point.

STEP 6

Approximate the real zeros by using the zero-finding tool. The calculator will provide the x-values where the function crosses the x-axis.

STEP 7

Verify the zeros by substituting them back into the function to check if they result in a value close to zero. This confirms the accuracy of the approximations.
The approximate real zeros of the function $f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$ will be displayed on the graphing calculator.

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QuestionUse a graphing calculator to approximate all real zeros of the function. $f(x)=0.79 x^{3}-6.54 x^{2}+1.3 x+7.4$

Studdy Solution

STEP 1

1. The function given is $f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$ .
2. We are tasked with finding the real zeros of the function using a graphing calculator.

STEP 2

1. Input the function into the graphing calculator.
2. Adjust the viewing window to capture the behavior of the graph.
3. Use the graphing calculator's zero-finding feature to approximate the real zeros.
4. Verify the zeros by checking the function values at these points.

STEP 3

Turn on the graphing calculator and access the function input screen. Enter the function:
$f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$

STEP 4

Adjust the viewing window to ensure the graph's behavior is visible. A good starting point might be:
- $x$ -range: from $-10$ to $10$ - $y$ -range: from $-20$ to $20$
This range can be adjusted based on the initial graph output.

STEP 5

Use the calculator's "zero" or "root" feature:
- Navigate to the graph screen. - Access the zero-finding tool (often found under the "Calc" menu). - Move the cursor near where the graph crosses the x-axis and follow the prompts to find the zero.
Repeat this process for each crossing point.

STEP 6

Approximate the real zeros by using the zero-finding tool. The calculator will provide the x-values where the function crosses the x-axis.

STEP 7

Verify the zeros by substituting them back into the function to check if they result in a value close to zero. This confirms the accuracy of the approximations.
The approximate real zeros of the function $f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$ will be displayed on the graphing calculator.

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QuestionUse a graphing calculator to approximate all real zeros of the function. f(x)=0.79x3−6.54x2+1.3x+7.4f(x)=0.79 x^{3}-6.54 x^{2}+1.3 x+7.4f(x)=0.79x3−6.54x2+1.3x+7.4

Studdy Solution

STEP 1

1. The function given is f(x)=0.79x3−6.54x2+1.3x+7.4 f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4 f(x)=0.79x3−6.54x2+1.3x+7.4.2. We are tasked with finding the real zeros of the function using a graphing calculator.

STEP 2

1. Input the function into the graphing calculator.2. Adjust the viewing window to capture the behavior of the graph.3. Use the graphing calculator's zero-finding feature to approximate the real zeros.4. Verify the zeros by checking the function values at these points.

STEP 3

Turn on the graphing calculator and access the function input screen. Enter the function:f(x)=0.79x3−6.54x2+1.3x+7.4 f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4 f(x)=0.79x3−6.54x2+1.3x+7.4

STEP 4

Adjust the viewing window to ensure the graph's behavior is visible. A good starting point might be:- x x x-range: from −10-10−10 to 101010 - y y y-range: from −20-20−20 to 202020This range can be adjusted based on the initial graph output.

STEP 5

Use the calculator's "zero" or "root" feature:- Navigate to the graph screen. - Access the zero-finding tool (often found under the "Calc" menu). - Move the cursor near where the graph crosses the x-axis and follow the prompts to find the zero.Repeat this process for each crossing point.

STEP 6

Approximate the real zeros by using the zero-finding tool. The calculator will provide the x-values where the function crosses the x-axis.

STEP 7

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionUse a graphing calculator to approximate all real zeros of the function. $f(x)=0.79 x^{3}-6.54 x^{2}+1.3 x+7.4$

1. The function given is $f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$ .
2. We are tasked with finding the real zeros of the function using a graphing calculator.

1. Input the function into the graphing calculator.
2. Adjust the viewing window to capture the behavior of the graph.
3. Use the graphing calculator's zero-finding feature to approximate the real zeros.
4. Verify the zeros by checking the function values at these points.

Turn on the graphing calculator and access the function input screen. Enter the function:
$f(x) = 0.79x^3 - 6.54x^2 + 1.3x + 7.4$

Adjust the viewing window to ensure the graph's behavior is visible. A good starting point might be:
- $x$ -range: from $-10$ to $10$ - $y$ -range: from $-20$ to $20$
This range can be adjusted based on the initial graph output.

Use the calculator's "zero" or "root" feature:
- Navigate to the graph screen. - Access the zero-finding tool (often found under the "Calc" menu). - Move the cursor near where the graph crosses the x-axis and follow the prompts to find the zero.
Repeat this process for each crossing point.