How to do domain and range on a graph


Asked by maham237 @ in Mathematics viewed by 322 People


Finding the Domain and Range of a Graph
Determine the domain and range for the graph below. Write your answer in interval notation and in set builder form using a compound inequality.

Domain written in interval notation:

Range written in interval notation:

Domain written in set builder form
Use a compound inequality:

{x| _________ }

Range written in set builder form
Use a compound inequality:

{y|_________ }

Answered by maham237 @



Answer:

Step-by-step explanation:

By looking at the graph I notice an open circle at (-4, -5) which means the function is not evaluable at -4, this restricts the domain.

The Domain of a function represents the set of values for which the function has an output.

The Range of a function is the set containing all the possible values associated with all input.

Domain in interval notation: (-4, 3]. The parenthesis denotes that the interval does not contain the extreme point -4. The brackets are the opposite.

Domain in set builder notation: $\{x |-4

Range in interval notation: (-5, -3]

Range in set builder notation: $\{y |-5


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