# The Fundamental Theorem of Calculus

### Exercises

#### Exercise 6

A bug crawling on a number line has velocity given by the graph below, where positive velocities indicate the bug is crawling to the right:

(a) At what time(s) does the bug change direction?

(b) On what time interval(s) is the bug moving to the right?

(c) On what time interval(s) is the bug moving to the left?

(d) At what time(s) is the bug moving most rapidly to the right?

(e) At what time(s) is the bug moving most rapidly to the left?

(f) At what time(s) is the bug moving most rapidly?

(g) On what time interval(s) is the bug speeding up?

(h) On what time interval(s) is the bug slowing down?

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