Questions: Set: Interval: (-3,4]
Use set notation to describe the domain and range.
Transcript text: Set:
Interval:
$(-3,4]$
Use set notation to describe the domain and range.
Solution
Solution Steps
Step 1: Find the domain
The domain is the set of all possible x-values. The graph starts at x = -3 with a closed circle, indicating that -3 is included in the domain. The graph ends at x = 4 with an open circle, indicating that 4 is not included in the domain. Thus, the domain is \([-3, 4)\).
Step 2: Find the range
The range is the set of all possible y-values. The minimum y-value is -2 and the maximum y-value is 4. Since the graph is continuous, all y-values between -2 and 4 are included in the range. Thus, the range is \([-2, 4]\).