Question

use the graph of the function f shown to answer parts (a)-(n). (e) for what value(s) of x is f(x)=0? x = -18, - 3,12 (use a comma to separate answers as needed.) (f) for what values of x is f(x)>0? -18<x<-3,12<x≤18 (type a compound inequality. use a comma to separate answers as needed.) (g) what is the domain of f? the domain of f is {x| -21≤x≤18}. (type a compound inequality.) (h) what is the range of f? the range of f is {y| -8≤y≤12}. (type a compound inequality.) (i) what are the x - intercept(s)? x = (type an integer or a simplified fraction. use a comma to separate answers as needed.)

Explanation:

Step1: Recall x - intercept definition

The x - intercepts of a function \(y = f(x)\) are the values of \(x\) for which \(y=f(x)=0\).

Step2: Use previous results

From part (e), we know that when \(f(x) = 0\), \(x=-18,-3,12\). These are the x - intercepts of the function.

Answer:

\(x=-18,-3,12\)