Answer:
Domain: [tex]\bold{ [- 9, -3]}[/tex]
Range: [tex]\bold{[-1, 2\;]}[/tex]
Step-by-step explanation:
Definitions
Domain of a function is the set of all input values that result in real and defined value for the function output
Range of a function is the set of all output values over the domain
Looking at the graph we see that the minimum x value is -9 and max is -3 and the function is continuous in this interval
Domain of f(x) = [tex]-9 \le x \le-3[/tex]
In interval notation the domain would be [tex]\bold{ [- 9, -3]}[/tex]
Range of f(x)= Range of y
Looking at the graph we see that the minimum value for y = - 1 which occurs at x = -9 and x = -3
The maximum value is 2 which occurs at the vertex
Range of f(x) => [tex]- 1 \le x \le 2[/tex]
In interval notation: [tex]\bold[-1, 2\;}}][/tex]
