Question

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

Explanation:

Step1: Analyze the graph

We need to find where \(y = f(x)>0\). On a graph, \(y>0\) means the part of the function above the \(x -\)axis.

Step2: Determine the interval

Looking at the graph, the function \(y = f(x)\) is above the \(x -\)axis (where \(y>0\)) for all \(x\) values less than \(3\). So the solution is \(x < 3\).

Answer:

$$x < 3$$