Question

Finding original graph given its derivative graph.
(image and my work in reply)

Answer 1

I know 3 rules to find original graph from derivative:
if f' is positive, f is increasing.
if f' is negative, f is decreasing.
x-intercepts are where f has a horizontal tangent.
So I answered what I could. I'm not sure how to figure out the rest of the answers.

Answer 2

so I believe f(x) will look something like that.