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
![### Calculus Practice Problem
**Function Definition:**
\( f(x) = -2x^2 + 4x - 7 \)
**Task:**
Find the expression for:
\[
\frac{f(x+h) - f(x)}{h}
\]
and simplify your answer completely.
---
**Instructions:**
1. Substitute \( f(x+h) \) into the expression.
2. Simplify the resulting expression by expanding and combining like terms.
3. Cancel out the \( h \) in the denominator if possible.
4. Present the final simplified expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afdb793-7012-417a-ba1a-2c4d4df308a5%2Fae34ba6d-afd6-459b-bb62-0b2ec0b29d0e%2Ftcjclk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculus Practice Problem
**Function Definition:**
\( f(x) = -2x^2 + 4x - 7 \)
**Task:**
Find the expression for:
\[
\frac{f(x+h) - f(x)}{h}
\]
and simplify your answer completely.
---
**Instructions:**
1. Substitute \( f(x+h) \) into the expression.
2. Simplify the resulting expression by expanding and combining like terms.
3. Cancel out the \( h \) in the denominator if possible.
4. Present the final simplified expression.
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