Question

use the graph of the function f shown to answer parts (a)-(n). (d) is f(-21) positive or negative? negative positive (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| } (type a compound inequality.)

Explanation:

Step1: Identify the lowest and highest y - values on the graph

The lowest y - value on the graph is $y=-2$ and the highest y - value is $y = 3$.

Step2: Write the range as a compound inequality

The range of the function $f$ is all the possible y - values. So the range is $\{y|-2\leq y\leq3\}$.

Answer:

$\{y|-2\leq y\leq3\}$