How to determine the domain and range of a graph


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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 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 admin @



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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