Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Evaluate the Function**
Given the function \( f(x) = 3x^2 - 2x \), determine the value of the function when \( x = -3 \).
**Choices:**
- \( \circ \) 2
- \( \circ \) 33
- \( \circ \) 28
- \( \circ \) 8
**Solution Explanation:**
To solve this, substitute \( x = -3 \) into the function:
\[ f(-3) = 3(-3)^2 - 2(-3) \]
1. Calculate \((-3)^2 = 9\).
2. Multiply by 3: \(3 \times 9 = 27\).
3. Calculate \(-2 \times -3 = 6\).
4. Add these results: \(27 + 6 = 33\).
Thus, \( f(-3) = 33 \).
Correct Answer: \( \circ \) 33
**Additional Context:**
This exercise demonstrates how to evaluate a polynomial function at a specific value of \( x \), showcasing the function's behavior and use of substitution and arithmetic operations.
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Transcribed Image Text:**Evaluate the Function**
Given the function \( f(x) = 3x^2 - 2x \), determine the value of the function when \( x = -3 \).
**Choices:**
- \( \circ \) 2
- \( \circ \) 33
- \( \circ \) 28
- \( \circ \) 8
**Solution Explanation:**
To solve this, substitute \( x = -3 \) into the function:
\[ f(-3) = 3(-3)^2 - 2(-3) \]
1. Calculate \((-3)^2 = 9\).
2. Multiply by 3: \(3 \times 9 = 27\).
3. Calculate \(-2 \times -3 = 6\).
4. Add these results: \(27 + 6 = 33\).
Thus, \( f(-3) = 33 \).
Correct Answer: \( \circ \) 33
**Additional Context:**
This exercise demonstrates how to evaluate a polynomial function at a specific value of \( x \), showcasing the function's behavior and use of substitution and arithmetic operations.
---
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