Questions: Find the domain and range of the function graphed below.
Domain:
Range: NOTE: If you do not see an endpoint, assume that the graph continues forever in the same direction.
Entry example: [2,3 ) or ( -∞ 0,5 ).
Enter -00 for negative infinity and 00 for infinity.
Transcript text: Find the domain and range of the function graphed below.
Domain: $\square$
Range: $\square$ NOTE: If you do not see an endpoint, assume that the graph continues forever in the same direction.
Entry example: $[2,3$ ) or ( $-\infty 0,5$ ).
Enter -00 for negative infinity and 00 for infinity.
Solution
Solution Steps
Step 1: Find the Domain
The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this graph, the x-values start at -2 (inclusive, denoted by a solid dot) and continue to 3 (exclusive, denoted by an open circle).
Step 2: Find the Range
The range of a function is the set of all possible output values (y-values). The graph's lowest point is at y = -5 (exclusive) and goes up to y = 4 (inclusive). The graph continues down indefinitely after x = 3.