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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![### Linear Function Graphing Exercise
#### Problem Statement:
For the given linear function, make a table of values and sketch its graph.
\[ g(x) = 3 - 8x \]
#### Instructions:
1. **Create a Table of Values:**
- Choose different values for \( x \) (both positive and negative).
- Compute the corresponding values of \( g(x) \) for each chosen \( x \).
2. **Plot the Values on the Graph:**
- Use the table of values to plot points on the provided coordinate grid.
- Sketch the graph of the linear function \( g(x) = 3 - 8x \).
#### Graph Description:
- The coordinate grid provided is a 20 by 20 grid with equally spaced horizontal and vertical lines.
- The x-axis ranges from -10 to 10, and the y-axis ranges from -10 to 10.
- The graph includes labels for each unit on both the x and y axes.
#### Graphing Tools:
- The toolbar on the left includes options for:
- Pointer selection tool
- Line drawing tool
- Graphing circle tool
- Arrow tool for drawing vectors
- Point plotting tool
- There are also options for solving, clearing, and deleting selections.
#### Additional Information:
At the bottom of the problem, you are asked to identify the slope of the graph.
#### Example Table of Values:
Let’s compute \( g(x) \) for a few selected values of \( x \):
| \( x \) | \( g(x) = 3 - 8x \) |
|-------|------------------|
| -2 | \( g(-2) = 3 - 8(-2) = 3 + 16 = 19 \) |
| -1 | \( g(-1) = 3 - 8(-1) = 3 + 8 = 11 \) |
| 0 | \( g(0) = 3 - 0 = 3 \) |
| 1 | \( g(1) = 3 - 8(1) = 3 - 8 = -5 \) |
| 2 | \( g(2) = 3 - 8(2) = 3 - 16 = -13 \) |
#### Graph the Linear Function:
Using the table of values, plot the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5abeb1f-981a-477d-b103-3469d09f5043%2F42c14e67-b4d6-428c-b9d5-005250dc3075%2Fgvhswsj_processed.png&w=3840&q=75)
Transcribed Image Text:### Linear Function Graphing Exercise
#### Problem Statement:
For the given linear function, make a table of values and sketch its graph.
\[ g(x) = 3 - 8x \]
#### Instructions:
1. **Create a Table of Values:**
- Choose different values for \( x \) (both positive and negative).
- Compute the corresponding values of \( g(x) \) for each chosen \( x \).
2. **Plot the Values on the Graph:**
- Use the table of values to plot points on the provided coordinate grid.
- Sketch the graph of the linear function \( g(x) = 3 - 8x \).
#### Graph Description:
- The coordinate grid provided is a 20 by 20 grid with equally spaced horizontal and vertical lines.
- The x-axis ranges from -10 to 10, and the y-axis ranges from -10 to 10.
- The graph includes labels for each unit on both the x and y axes.
#### Graphing Tools:
- The toolbar on the left includes options for:
- Pointer selection tool
- Line drawing tool
- Graphing circle tool
- Arrow tool for drawing vectors
- Point plotting tool
- There are also options for solving, clearing, and deleting selections.
#### Additional Information:
At the bottom of the problem, you are asked to identify the slope of the graph.
#### Example Table of Values:
Let’s compute \( g(x) \) for a few selected values of \( x \):
| \( x \) | \( g(x) = 3 - 8x \) |
|-------|------------------|
| -2 | \( g(-2) = 3 - 8(-2) = 3 + 16 = 19 \) |
| -1 | \( g(-1) = 3 - 8(-1) = 3 + 8 = 11 \) |
| 0 | \( g(0) = 3 - 0 = 3 \) |
| 1 | \( g(1) = 3 - 8(1) = 3 - 8 = -5 \) |
| 2 | \( g(2) = 3 - 8(2) = 3 - 16 = -13 \) |
#### Graph the Linear Function:
Using the table of values, plot the
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