use the graph of the function to find the domain and range of f. (enter your answers using interval…

Explanation:

Step1: Identify domain from graph

The graph extends horizontally from (x = - 2) (open - circle) to (x=2) (closed - circle). So the domain is ([-2,2]).

Step2: Identify range from graph

The lowest (y) - value is around (y=-3) and the highest is (y = 5). So the range is ([-3,5]).

Step3: Find (f(-1))

Locate (x=-1) on the (x) - axis and then find the corresponding (y) - value on the graph. (f(-1)= - 2).

Step4: Find (f(0))

Locate (x = 0) on the (x) - axis. The corresponding (y) - value on the graph is (f(0)=-3).

Step5: Find (f(1))

Locate (x = 1) on the (x) - axis. The corresponding (y) - value on the graph is (f(1)=-2).

Step6: Find (f(2))

Locate (x = 2) on the (x) - axis. The corresponding (y) - value on the graph is (f(2)=5).

Answer:

domain: ([-2,2]) range: ([-3,5]) (a) (f(-1)=-2) (b) (f(0)=-3) (c) (f(1)=-2) (d) (f(2)=5)