Question

the graph of ( y = f(x) ) is shown below. find all values of ( x ) for which ( f(x) > 0 ).

Explanation:

Step1: Understand the function \( y = f(x) \)

The problem is to find the values of \( x \) for which \( f(x)>0 \). This means we need to find the \( x - \) values where the graph of \( y = f(x) \) is above the \( x - \) axis (\( y = 0 \)).

Step2: Analyze the graph

Looking at the graph, we observe that the graph of \( y=f(x) \) is above the \( x - \) axis (where \( y>0 \)) for \( x \) values in the interval \(-4 < x< - 2\).

Answer:

The values of \( x \) for which \( f(x)>0 \) are \( - 4