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,...
Related questions
Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb9d3b30-977a-4fc1-86d7-00bf458d4c49%2Fb0d7e86d-d6ca-4b27-b1e8-c9af9453c860%2F02v299c_processed.jpeg&w=3840&q=75)
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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