CPM Homework Help : CALC Problem 5-142

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)

Hint (a):

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.

Step (a):

$f(0)+\int_{0}^{1}f'(x)dx=\underline{ \ \ \ \ \ \ \ \ \ \ \ }$

Step (b):

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

Hint (d):

Refer to hint in part (b).

Hint (c):

Refer to hint in part (a).

Hint (e):

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