12. given the graph of the derivative of f below, determine the interval(s) where the f is increasing.
12. given the graph of the derivative of f below, determine the interval(s) where the f is increasing.
Answer
Explanation:
Step1: Recall the increasing - function rule
A function $y = f(x)$ is increasing when $f'(x)>0$.
Step2: Analyze the graph of $f'(x)$
We look at the $x$ - values for which the graph of $y = f'(x)$ is above the $x$ - axis. From the graph, we can see that $f'(x)>0$ for $x\in(b,e)$.
Answer:
The function $f$ is increasing on the interval $(b,e)$.