Finding the Domain and Range of a Graph Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as a Compound Inequality. 5 4 3 2 1 X\ -5 -4 -3 -2 -1 Domain written in Interval Notation Range written in Interval Notation -1 -2 -3 -4 -5- 1 2 3 4 Domain written as a Compound Inequality Range written as a Compound Inequality

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter3: Graphs And Functions
Section3.4: Graph Linear Inequalities In Two Variables
Problem 277E: Harrison works two part time jobs. One at a gas station that pays $11 an hour and the other is IT...
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**Finding the Domain and Range of a Graph**

Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as a Compound Inequality.

[Graph Description]
The graph is a section of the Cartesian plane with the x-axis ranging from -5 to 5 and the y-axis ranging from -5 to 5. There are two prominent points on the graph marked by blue dots:

1. The first point is at (1, 5).
2. The second point is at (5, -1).

These two points are connected by a line segment that moves from (1, 5) down to (5, -1).

Below the graph, there are fields to enter your answers:

**Domain written in Interval Notation:** 
[ ________________ ]

**Domain written as a Compound Inequality:** 
[ ________________ ]

**Range written in Interval Notation:** 
[ ________________ ]

**Range written as a Compound Inequality:** 
[ ________________ ]

### Explanation of the Graph

- **Domain:** This represents all the possible x-values covered by the graph. In this case, the x-values range from 1 to 5.
- **Range:** This represents all the possible y-values covered by the graph. Here, the y-values range from -1 to 5.

### Answer Examples

- **Domain written in Interval Notation:** [1, 5]
- **Domain written as a Compound Inequality:** 1 ≤ x ≤ 5
- **Range written in Interval Notation:** [-1, 5]
- **Range written as a Compound Inequality:** -1 ≤ y ≤ 5
Transcribed Image Text:**Finding the Domain and Range of a Graph** Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as a Compound Inequality. [Graph Description] The graph is a section of the Cartesian plane with the x-axis ranging from -5 to 5 and the y-axis ranging from -5 to 5. There are two prominent points on the graph marked by blue dots: 1. The first point is at (1, 5). 2. The second point is at (5, -1). These two points are connected by a line segment that moves from (1, 5) down to (5, -1). Below the graph, there are fields to enter your answers: **Domain written in Interval Notation:** [ ________________ ] **Domain written as a Compound Inequality:** [ ________________ ] **Range written in Interval Notation:** [ ________________ ] **Range written as a Compound Inequality:** [ ________________ ] ### Explanation of the Graph - **Domain:** This represents all the possible x-values covered by the graph. In this case, the x-values range from 1 to 5. - **Range:** This represents all the possible y-values covered by the graph. Here, the y-values range from -1 to 5. ### Answer Examples - **Domain written in Interval Notation:** [1, 5] - **Domain written as a Compound Inequality:** 1 ≤ x ≤ 5 - **Range written in Interval Notation:** [-1, 5] - **Range written as a Compound Inequality:** -1 ≤ y ≤ 5
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