Please answer
Problem 4: Graphing a Function 20 points
[Note: This problem is unrelated to the first three problems.] A function h() has all of the following properties:
a) h has domain (o, ) and is an odd function. b) h is differentiable on (o, 3), (3, 3), and on (3, o). c) h is continuous on ,5,[5,5] and (5,) d) h(2)=-3, h(5) = -5, and h(7)= 0. e)lim_h(x)=2 andlim.h(x)=-o.
f) hx)>0 on (-o,5,3, -2),(2,3), and (5,) g)hx<0 on -5,-3,-2,2,3,5. h)hx)>0 on -o,-5,-5,-3,and0,3 ihx<0on-3,0,3,5,and5,
On the set of axes below, make a graph for h(x). The graph must satisfy all of the properties listed above
6 8 7
6 5
3
2
-1
1
2
3
4
5
6
7
8
9
