Question

the graph of ( y = f(x) ) is given. solve the inequalities. write the solution set in interval notation if possible.

your answer

part 1 of 4

(a) ( f(x) < 0 )

the solution set is

check

Explanation:

Step1: Analyze the graph

We need to find the values of \(x\) for which \(y = f(x)<0\).

Step2: Determine the intervals

Looking at the graph, the function \(y = f(x)\) is below the \(x -\)axis (\(y = 0\)) when \(x<1\) (excluding \(x = 1\) as there is a vertical asymptote at \(x = 1\)) and when \(x>3\).

Answer:

\((-\infty,1)\cup(3,\infty)\)