Questions: Find the domain and range of the function graphed below.
Domain:
Range:
Transcript text: Find the domain and range of the function graphed below.
Domain: $\square$
Range: $\square$
Solution
Solution Steps
Step 1: Find the Domain
The domain is the set of all possible x-values. The graph extends infinitely to the left, indicated by the arrow. The largest x-value is 1, but it is not included in the domain, indicated by the open circle. Therefore, the domain is $(-∞, 1)$.
Step 2: Find the Range
The range is the set of all possible y-values. The graph extends infinitely downwards, indicated by the arrow. The largest y-value is 4. Therefore, the range is $(-∞, 4]$.