Question

use the graph of the function f shown to answer parts (a)-(n).
(a) find f(-7) and f(2).
f(-7)= -4
f(2)= -4
(b) find f(6) and f(0).
f(6)= 4
f(0)= -2
(c) is f(2) positive or negative?
positive
negative
(d) is f(-3) positive or negative?
positive
negative
(e) for what value(s) of x is f(x)=0?
x=
(use a comma to separate answers as needed.)

Explanation:

Step1: Understand the meaning of \( f(x) = 0 \)

\( f(x)=0 \) means we need to find the \( x - \)values for which the \( y - \)coordinate (the value of the function) is \( 0 \).

Step2: Locate points on the graph where \( y = 0 \)

Looking at the graph, the points \((-6,0)\), \((1,0)\), and \((4,0)\) have \( y = 0 \).

Answer:

\(x=-6,1,4\)