13. given the graph of f below, determine the interval(s) where the f>0.
13. given the graph of f below, determine the interval(s) where the f>0.
Answer
Explanation:
Step1: Recall second - derivative property
If (f''>0), the function (f(x)) is concave up.
Step2: Analyze the graph
Visually identify the intervals where the graph of (y = f(x)) is concave up. The graph is concave up when it "holds water". Looking at the given graph, the function is concave up on the intervals ((b,c)) and ((g,j)).
Answer:
((b,c)\cup(g,j))