Question

use the graph of ( y = f(x) ) to answer the questions. complete parts a through j

f. what is/are the ( x )-intercept(s) of ( f )?
the ( x )-intercept(s) is/are ( x = ) (use a comma to separate answers as needed )
g. is ( f ) even, odd, or neither?
even
odd
neither
h. for what values of ( x ) is ( f(x)>0 )?
the set of ( x )-values for which ( f(x)>0 ) is (type your answer in interval notation )

Explanation:

Step1: Identify intervals where \(y = f(x)>0\)

Looking at the graph, \(y = f(x)>0\) when the graph is above the \(x -\)axis.
We observe two intervals: \((-\infty,- 4)\cup(-4, - 2)\cup(2,4)\cup(4,\infty)\)

Answer:

\((-\infty,-4)\cup(-4, - 2)\cup(2,4)\cup(4,\infty)\)