How to describe the domain and range of a function

Asked by admin @ 07/11/2021 in Mathematics viewed by 426 People

Inequalities that Describe Domain and Range:

Complete the inequality below to describe the domain of the graph shown. Domain: __ is less than x which is less than or equal to 4
Complete the inequality below to describe the range of the graph shown.
Range: __ is less than or equal to y which is less than 5
What is the domain and range?

Answered by admin @ 07/11/2021

The domain is the set of possible input values, and the range is the set of all possible output values of the graph

The completed inequality representing the set of the domain and range are presented as follows;

Part A

Domain: -4 is less than x which is less than or equal to 4

Part B

Range: -2 is less than or equal to y which is less than 5

Given:

Question: The graph of the question appear missing and the required graph to complete the question is attached here

Solution:

From the attached graph, we have that there is an open circle at the point (-4, 5), which represents that there is no value at the point

However, at the other end of the graph, which is the point (4, -2), we have a closed circle, which represents that the graph has a value at the point (4, -2)

Part A

The domain of a graph are the possible input (x-values) of the graph, in inequality format, the domain of the attached graph is -4 < x ≤ 4

Therefore;

To complete the inequality for the domain, gives;

Domain: -4 is less than x which is less than or equal to 4

Part B

The range of a graph are the possible output (y-values) of the graph, in inequality format, the domain of the attached graph is -2 ≤ y < 5

To complete the inequality for the domain gives;

Range: -2 is less than or equal to y which is less than 5

Learn more about the domain and range of a graph here:

brainly.com/question/15164206

How to describe the domain and range of a function

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