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

5-142.

Using the graph of

*f*′(*x*) in problem 5-141, and given that*f*(0) = 2, determine the following values. Homework Help ✎*f*(1)*f*′(1)*f*(−3)*f*′(−2)*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.