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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-143

4-143.
  1. The graph of f ′(x) is shown below. Find the intervals where f(x) is increasing, decreasing, concave up, and concave down. Homework Help ✎

We are looking at a graph of f '(x), but being asked about the graph of f(x).
So think about what f '(x) tells us about f(x).

If f '(x) is positive, then f(x) is increasing (and vice versa).
If f '(x) is increasing, then f(x) is concave up (and vise versa).