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
**Graph Description:**
The graph displayed is a piecewise linear function. It has two distinct segments:
1. **Diagonal Line Segment:**
- This line extends from the point \((-5, -4)\) through the origin and continues positively through the point \((0, 0)\) up to \((3, 3)\).
- The graph is linear in this section, indicating a direct proportionality where the output increases with the input.
2. **Horizontal Line Segment:**
- Starting at the point \((3, 3)\), the graph turns into a horizontal line.
- This segment continues across to the point \((5, 3)\), indicating that the function value remains constant at \( f(x) = 3 \).
**Task:**
Determine the following values from the graph:
\[
\begin{array}{|c|c|}
\hline
f(-3) & \\
\hline
f(3) & \\
\hline
\end{array}
\]
**Instructions:**
- To find \( f(-3) \), locate \(-3\) on the x-axis, then find the corresponding y-value on the graph.
- To find \( f(3) \), locate \(3\) on the x-axis, and determine the y-value that aligns with this input.
Use the graph to read off these values accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd5c2cde-8895-43a3-8db4-0ce93c5f2f01%2Fd38fa151-9089-4b4e-aa45-2d93cf2c8cbf%2Fzdu3rqb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding the Graph of a Function**
Here is the graph of \( f(x) \).
**Graph Description:**
The graph displayed is a piecewise linear function. It has two distinct segments:
1. **Diagonal Line Segment:**
- This line extends from the point \((-5, -4)\) through the origin and continues positively through the point \((0, 0)\) up to \((3, 3)\).
- The graph is linear in this section, indicating a direct proportionality where the output increases with the input.
2. **Horizontal Line Segment:**
- Starting at the point \((3, 3)\), the graph turns into a horizontal line.
- This segment continues across to the point \((5, 3)\), indicating that the function value remains constant at \( f(x) = 3 \).
**Task:**
Determine the following values from the graph:
\[
\begin{array}{|c|c|}
\hline
f(-3) & \\
\hline
f(3) & \\
\hline
\end{array}
\]
**Instructions:**
- To find \( f(-3) \), locate \(-3\) on the x-axis, then find the corresponding y-value on the graph.
- To find \( f(3) \), locate \(3\) on the x-axis, and determine the y-value that aligns with this input.
Use the graph to read off these values accurately.
Expert Solution
Step 1: Given
given graph of f(x)
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Solved in 3 steps
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