Question

state the domain and range of the graph in interval notation.
what is the domain? answer in interval notation.
(5,-9)
thats not it.
what is the range? answer in interval notation.

Explanation:

Step1: Determine the domain

The domain is the set of all x - values the graph covers. Looking at the graph, the leftmost point is at \( x=- 10 \) (closed dot, so included) and the rightmost point is at \( x = 5 \) (closed dot, so included). So the domain in interval notation is \( [-10,5] \).

Step2: Determine the range

The range is the set of all y - values the graph covers. The lowest y - value is \( y = 0 \) (at the endpoints) and the highest y - value is \( y=4 \) (at the peak). So the range in interval notation is \( [0,4] \).

Answer:

Domain: \([-10, 5]\)
Range: \([0, 4]\)