We previously addressed the question, "Given `f'(x)`, what can we know about `f(x)`?"
But now we go deeper:
Given the graph of `f''(x)` what can we deduce about `f(x)`?
You are given the graph of `f''(x)`, and your task is to reconstruct the graph of `f(x)`.
Recall some important information...
- If `f''(x) > 0`, then `f'(x)` is increasing, so `f(x)` is concave up.
- If `f''(x) < 0`, then `f'(x)` is decreasing, so `f(x)` is concave down.