Question

The graph of f^ prime is shown. Find and sketch the graph of f given that fis continuous and f(0) = 1 .

(#72 in the pic)

Answer 1

9514 1404 393

Answer:

see attached (blue line)

Explanation:

The slope in the first interval (0 to 2) will be -1, down from the y-intercept of 1.

The slope in the second interval will be 2. After that, the slope is zero, so the graph is a horizontal line.

The blue line in the attached is the graph of f(x).