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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![**Instructions on Using the Graph of a Linear Function**
**Objective:**
To find the value of \( x \) such that \( f(x) = -3 \).
**Question:**
Use the graph of the given function \( f(x) \) to find \( x \) such that \( f(x) = -3 \).
**Solution:**
The graph provided shows a linear function plotted on a Cartesian coordinate plane. The x-axis and y-axis are marked with integer values from -6 to 6.
### Graph Analysis:
1. **Axes and Labels:**
- The horizontal axis (x-axis) ranges from -6 to 6.
- The vertical axis (y-axis) also ranges from -6 to 6.
- The graph includes a label for the x-axis and y-axis.
2. **Line Description:**
- The line representing the function \( f(x) \) is drawn in blue.
- The line is a straight line that crosses from the upper left quadrant down to the lower right quadrant, indicating a negative slope.
- Significant points on the line include where it intersects major grid points for precision in reading values directly from the graph.
### Step-by-Step Explanation:
1. **Identifying \( f(x) = -3 \):**
- Locate -3 on the y-axis (vertical axis).
- From \( y = -3 \), move horizontally to the point where this line intersects the graph of the function.
2. **Finding the Corresponding \( x \) Value:**
- At the intersection point, move vertically downward to the x-axis to determine the corresponding value of \( x \).
- According to the graph, the line intersects the point \( y = -3 \) at \( x = 3 \).
Therefore, the value of \( x \) that satisfies \( f(x) = -3 \) is:
\[ x = 3 \]
Feel free to practice reading values from the graph to strengthen your understanding of analyzing linear functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5de4e89a-1df1-43bb-af56-8999aaa33a7b%2F3a8bc04b-e349-402e-bffd-470a3c282232%2F3khi0wf_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions on Using the Graph of a Linear Function**
**Objective:**
To find the value of \( x \) such that \( f(x) = -3 \).
**Question:**
Use the graph of the given function \( f(x) \) to find \( x \) such that \( f(x) = -3 \).
**Solution:**
The graph provided shows a linear function plotted on a Cartesian coordinate plane. The x-axis and y-axis are marked with integer values from -6 to 6.
### Graph Analysis:
1. **Axes and Labels:**
- The horizontal axis (x-axis) ranges from -6 to 6.
- The vertical axis (y-axis) also ranges from -6 to 6.
- The graph includes a label for the x-axis and y-axis.
2. **Line Description:**
- The line representing the function \( f(x) \) is drawn in blue.
- The line is a straight line that crosses from the upper left quadrant down to the lower right quadrant, indicating a negative slope.
- Significant points on the line include where it intersects major grid points for precision in reading values directly from the graph.
### Step-by-Step Explanation:
1. **Identifying \( f(x) = -3 \):**
- Locate -3 on the y-axis (vertical axis).
- From \( y = -3 \), move horizontally to the point where this line intersects the graph of the function.
2. **Finding the Corresponding \( x \) Value:**
- At the intersection point, move vertically downward to the x-axis to determine the corresponding value of \( x \).
- According to the graph, the line intersects the point \( y = -3 \) at \( x = 3 \).
Therefore, the value of \( x \) that satisfies \( f(x) = -3 \) is:
\[ x = 3 \]
Feel free to practice reading values from the graph to strengthen your understanding of analyzing linear functions.
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