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
Find the indicated value of each function.
(a) f(0)
(b) f(3)
(c) f(-2)

Transcribed Image Text:### Understanding Linear Functions: Example Problem
**Problem 55:**
Given the linear function \( f(x) = -5x + 2 \).
#### Explanation:
This expression represents a linear function where:
- The coefficient of \( x \) is \(-5\), which indicates the slope of the line. A negative slope means the line will decrease as it moves from left to right on a graph.
- The constant term is \(2\), which represents the y-intercept. This is the point where the line crosses the y-axis.
#### Graphical Representation:
A graph of this function would consist of a straight line with the following characteristics:
- **Slope**: \(-5\), so the line falls steeply as \( x \) increases.
- **Y-Intercept**: \(2\), meaning the line crosses the y-axis at this point.
To graph this function:
1. Start at the y-intercept (0, 2).
2. Use the slope to find another point. From (0, 2), move down 5 units and 1 unit to the right to arrive at the point (1, -3).
3. Draw a straight line through these points to complete the graph.
This function models relationships where there is a consistent decrease by 5 units in \( f(x) \) for every 1 unit increase in \( x \).
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