Function P (メ)" -3x+ 5 %3D Compute the following: f (x + h) -f (x) =

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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How do I compute the function f(x+h)-f(x) when f(x) is as follows?
## Understanding Function Increments

### Given Function

The function is defined as \( f(x) = -3x + 5 \).

### Task

Compute the following expression:

\[ f(x + h) - f(x) = \]

### Explanation

To solve the expression \( f(x + h) - f(x) \), follow these steps:

1. **Substitute \( x + h \) into the function**:
   - Calculate \( f(x + h) \).

2. **Apply the function rule**:
   - Use the given expression of the function \( f(x) = -3x + 5 \).
  
3. **Subtraction**:
   - Subtract \( f(x) \) from \( f(x + h) \).

This process helps in understanding how changes in the input \( x \) (increment \( h \)) affect the output of the function.
Transcribed Image Text:## Understanding Function Increments ### Given Function The function is defined as \( f(x) = -3x + 5 \). ### Task Compute the following expression: \[ f(x + h) - f(x) = \] ### Explanation To solve the expression \( f(x + h) - f(x) \), follow these steps: 1. **Substitute \( x + h \) into the function**: - Calculate \( f(x + h) \). 2. **Apply the function rule**: - Use the given expression of the function \( f(x) = -3x + 5 \). 3. **Subtraction**: - Subtract \( f(x) \) from \( f(x + h) \). This process helps in understanding how changes in the input \( x \) (increment \( h \)) affect the output of the function.
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