Question

use the graph of the function f shown to answer parts (a)-(n).
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=-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|□}.
(type a compound inequality.)

Explanation:

Step1: Determine the domain from the graph

The domain of a function is the set of all possible \(x\) - values for which the function is defined. Looking at the graph, the left - most \(x\) - value is \(x=-7\) and the right - most \(x\) - value is \(x = 6\).

Answer:

\(\{x|-7\leq x\leq6\}\)