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Home > CALC > Chapter 5 > Lesson 5.4.1 > Problem 5-142

5-142.
  1. Using the graph of f ′(x) in problem 5-141, and given that f(0) = 2, determine the following values. Homework Help ✎

    1. f(1)

    2. f ′(1)

    3. f(−3)

    4. f ′(−2)

    5. f ″(2)

The area under the curve between 0 and 1 represents displacement (or accumulated area).
However, it is given that f(0) = 2, which means f(x) has a starting value of y = 2.

Notice that the graph is of f '(x).

Refer to hint in part (b).

Refer to hint in part (a).

f ''(x) represents the slope of f '(x) and you are looking at the f '(x) graph.