Question

use the graph of the function f shown to answer parts (a)-(n).
negative
(e) for what value(s) of x is f(x)=0?
x = -6, -1,4
(use a comma to separate answers as needed.)
(f) for what values of x is f(x)>0?
-6<x<-1,4<x≤6
(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| -7≤x≤6}.
(type a compound inequality.)
(h) what is the range of f?
the range of f is {y| -4≤y≤6}.
(type a compound inequality.)
(i) what are the x - intercept(s)?
x = -6, -1,4
(type an integer or a simplified fraction. use a comma to separate answers as needed.)
(j) what are the y - intercept(s)?
y=
(type an integer or a simplified fraction. use a comma to separate answers as needed.)

Explanation:

Step1: Identify the y - intercept definition

The y - intercept is the value of the function when \(x = 0\).

Step2: Locate the point on the graph

Looking at the graph, when \(x=0\), the point is \((0, - 2)\).

Answer:

\(y=-2\)