Question

use the graph of the function f shown to answer parts (a)-(n)
(g) what is the domain of f?
the domain of f is {x| -21≤x≤21}
(type a compound inequality)
(h) what is the range of f?
the range of f is {y| }
(type a compound inequality)
(i) what are the x - intercept(s)?
x = -21, -5, 13
(type an integer or a simplified fraction. use a comma to separate answers as needed)
(j) what are the y - intercept(s)?

Explanation:

Step1: Identify minimum and maximum y - values

From the graph, the lowest y - value is $y=-2$ and the highest y - value is $y = 4$.

Step2: Write the compound inequality

The range is all the possible y - values of the function. So the compound inequality for the range is $-2\leq y\leq4$.

Step3: Find x - intercepts

The x - intercepts are the x - values where the graph crosses the x - axis. From the graph, the x - intercepts are $x=-18,-3,12$.

Step4: Find y - intercept

The y - intercept is the y - value where the graph crosses the y - axis. From the graph, the y - intercept is $y=-1$.

Answer:

(h) The range of $f$ is $\{y|-2\leq y\leq4\}$
(i) $x=-18,-3,12$
(j) $y = - 1$