**Finding the Real Zeros of a Function Using a Calculator****Instructions:**1. Use your calculator to find the real zeros of the function given below.2. Approximate your answers to the nearest hundredth.3. Do not use any algebraic methods for this problem.**Function:**\[ f(x) = x^3 + 42.2x^2 - 664.8x + 1490.4 \]**Steps:**1. **Enter the Function:** - Open the graphing editor on your calculator. - Enter the function $ f(x) = x^3 + 42.2x^2 - 664.8x + 1490.4 $ into the calculator under $ Y_1 $.2. **Set the Graph Window:** - Adjust the window settings to view the entire graph clearly. - The window settings might look like this: - $ X $-min: [\[ \ \]] - $ X $-max: [\[ \ \]] - $ X $-scale: [\[ \ \]] - $ Y $-min: [\[ \ \]] - $ Y $-max: [\[ \ \]] - $ Y $-scale: [\[ \ \]]3. **Identify the Zeros:** - Using the calculator’s zero-finding feature, locate the points where the graph intersects the x-axis. - Note all the real zeros of the function.4. **Zeros (if any exist):** - Record the x-coordinates (real zeros).**Note:** Ensure to follow these steps carefully and verify your results. The zeros will be approximate values.Happy calculating!

Note the result : Suppose graph of cuts the axis at then zeros of is a .

Must use your calculator only! 1. Find the real zeros of the function below. Approximate to nearest hundredths. No algebraic methods! f(x) = x' +42.2.x² – 664.8x+1490.4 EDITOR : Y, = WINDOW : , by [, X-min X-max X-scl Y-min Y-max y-scl Zeros (if any exist) :

Must use your calculator only! 1. Find the real zeros of the function below. Approximate to nearest hundredths. No algebraic methods! f(x) = x' +42.2.x² – 664.8x+1490.4 EDITOR : Y, = WINDOW : , by [, X-min X-max X-scl Y-min Y-max y-scl Zeros (if any exist) :

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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**Finding the Real Zeros of a Function Using a Calculator**

**Instructions:**
1. Use your calculator to find the real zeros of the function given below.
2. Approximate your answers to the nearest hundredth.
3. Do not use any algebraic methods for this problem.

**Function:**

\[ f(x) = x^3 + 42.2x^2 - 664.8x + 1490.4 \]

**Steps:**

1. **Enter the Function:**
- Open the graphing editor on your calculator.
- Enter the function $ f(x) = x^3 + 42.2x^2 - 664.8x + 1490.4 $ into the calculator under $ Y_1 $.

2. **Set the Graph Window:**
- Adjust the window settings to view the entire graph clearly.
- The window settings might look like this:
- $ X $-min: [\[ \ \]]
- $ X $-max: [\[ \ \]]
- $ X $-scale: [\[ \ \]]
- $ Y $-min: [\[ \ \]]
- $ Y $-max: [\[ \ \]]
- $ Y $-scale: [\[ \ \]]

3. **Identify the Zeros:**
- Using the calculator’s zero-finding feature, locate the points where the graph intersects the x-axis.
- Note all the real zeros of the function.

4. **Zeros (if any exist):**
- Record the x-coordinates (real zeros).

**Note:** Ensure to follow these steps carefully and verify your results. The zeros will be approximate values.

Happy calculating!

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