Page 97 - Calculus Demystified

CHAPTER 3 Applications of the Derivative
84

Fig. 3.5

and
− sin x is negative when kπ <x <(k + 1)π, k even.

So the graph alternates being concave down and concave up. Of course it also
passes through the origin. We amalgamate all our information in the graph
shown in Fig. 3.6.

6
4

2
_
2
_
2

Fig. 3.6

EXAMPLE 3.4
Sketch the graph of h(x) = x/(x + 1 ).