What values are included in the range of the function below? Check all that apply. -8 -2 O -5 8. 3. 5. -1

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question**:
What values are included in the range of the function below? Check all that apply.

**Graph Description**: 
The graph provided is a line graph on a coordinate plane with x and y axes both ranging from -8 to 8. There are four line segments created by plotting points at:
1. (x=-7, y=-4)
2. (x=-4, y=-4)
3. (x=-2, y=3)
4. (x=5, y=-1)
The lines connect in the following pattern: starting from (-7, -4) going to (-4, -4), then to (-2, 3), and ending at (5, -1).

**Answer Options**:
- [ ] -4
- [ ] 0
- [ ] -1
- [ ] 3
- [ ] -2
- [ ] 5
- [ ] -5
- [ ] 8

**Instructions**:
Students need to determine which of the given values are included in the range (the set of all possible y-values) based on the plotted points and connecting lines provided in the graph.

**Graph Analysis**:
To solve this, observe the y-values of the key plotted points:
- The starting point at (-7, -4) means y=-4.
- The endpoint of the first segment at (-4, -4) also means y=-4.
- The second segment endpoint at (-2, 3) means y=3.
- The final endpoint at (5, -1) means y=-1.

All y-values that are included from the points and the linear segments between them form our range. Thus, the range includes -4, 3, and -1. Therefore, the correct values to check are:
- [x] -4
- [ ] 0
- [x] -1
- [x] 3
- [ ] -2
- [ ] 5
- [ ] -5
- [ ] 8
Transcribed Image Text:**Question**: What values are included in the range of the function below? Check all that apply. **Graph Description**: The graph provided is a line graph on a coordinate plane with x and y axes both ranging from -8 to 8. There are four line segments created by plotting points at: 1. (x=-7, y=-4) 2. (x=-4, y=-4) 3. (x=-2, y=3) 4. (x=5, y=-1) The lines connect in the following pattern: starting from (-7, -4) going to (-4, -4), then to (-2, 3), and ending at (5, -1). **Answer Options**: - [ ] -4 - [ ] 0 - [ ] -1 - [ ] 3 - [ ] -2 - [ ] 5 - [ ] -5 - [ ] 8 **Instructions**: Students need to determine which of the given values are included in the range (the set of all possible y-values) based on the plotted points and connecting lines provided in the graph. **Graph Analysis**: To solve this, observe the y-values of the key plotted points: - The starting point at (-7, -4) means y=-4. - The endpoint of the first segment at (-4, -4) also means y=-4. - The second segment endpoint at (-2, 3) means y=3. - The final endpoint at (5, -1) means y=-1. All y-values that are included from the points and the linear segments between them form our range. Thus, the range includes -4, 3, and -1. Therefore, the correct values to check are: - [x] -4 - [ ] 0 - [x] -1 - [x] 3 - [ ] -2 - [ ] 5 - [ ] -5 - [ ] 8
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