Question

the entire graph of the function h is shown in the figure below. write the domain and range of h using interval notation. domain: range:

Explanation:

Step1: Identify domain from graph

The left - most x - value is just to the right of x = - 2 (open - circle) and the right - most x - value is just to the right of x = 2 (open - circle).

Step2: Write domain in interval notation

The domain is the set of all x - values for which the function is defined. So, the domain is (-2,2).

Step3: Identify range from graph

The lowest y - value is just to the right of y=-4 (open - circle) and the highest y - value is y = 5 (closed - circle).

Step4: Write range in interval notation

The range is the set of all y - values that the function takes. So, the range is (-4,5].

Answer:

domain: (-2,2)
range: (-4,5]