The graph of y = f '(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing.

Question

The graph of y = f '(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing.

 

A)(-4, -2) U (2, 4)

B)(-2, 2)

C)(-4, 0)

D)(0, 4)

Answer 1

Hello, Sreeram,

The first derivative will tell us the slope of f(x) at each point, x. A positive slope means that y is increases as x increases. So look for the range that has positive vaues for the slope. That will be the range in which f(x) is increasing.

Bob