what is the domain and range ### Determining Functions and Their Domains and Ranges#### Instructions:Decide whether the relation defined by the graph to the right defines a function, and give the domain and range.**Question:**Does the graphed relation define a function?- ⭘ No- ⭉ Yes**Question:**What is the domain of the graphed relation?[Enter your answer in the space provided, using interval notation.]#### Explanation of the Graph:The graph provided is a standard Cartesian plane with a blue line plotted, extending from the upper left quadrant to the lower right quadrant. This line passes through coordinate points such as (-10, 10), (0, 0), and (10, -10). The line suggests a continuous linear relationship.##### Characteristics:- **X-axis range:** -10 to 10- **Y-axis range:** -10 to 10### Answer Key:- The graphed relation **does** define a function because for every x-value, there is a unique y-value. This is indicated by the line passing the Vertical Line Test (any vertical line drawn would intersect the graph at only one point).- The domain of the graphed relation, considering the infinite expansion of the line in both directions, is all real numbers, represented in interval notation as $ (-\infty, \infty) $. **Note:** Users should type their answers in interval notation.

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what is the domain and range

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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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

what is the domain and range

### Determining Functions and Their Domains and Ranges

#### Instructions:
Decide whether the relation defined by the graph to the right defines a function, and give the domain and range.

**Question:**
Does the graphed relation define a function?
- ⭘ No
- ⭉ Yes

**Question:**
What is the domain of the graphed relation?
[Enter your answer in the space provided, using interval notation.]

#### Explanation of the Graph:
The graph provided is a standard Cartesian plane with a blue line plotted, extending from the upper left quadrant to the lower right quadrant. This line passes through coordinate points such as (-10, 10), (0, 0), and (10, -10). The line suggests a continuous linear relationship.

##### Characteristics:
- **X-axis range:** -10 to 10
- **Y-axis range:** -10 to 10

### Answer Key:
- The graphed relation **does** define a function because for every x-value, there is a unique y-value. This is indicated by the line passing the Vertical Line Test (any vertical line drawn would intersect the graph at only one point).
- The domain of the graphed relation, considering the infinite expansion of the line in both directions, is all real numbers, represented in interval notation as $ (-\infty, \infty) $.

**Note:** Users should type their answers in interval notation.

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