Sketch the graph of a function f(x) that satisfies the stated conditions. Mark any inflection points by writing IP on your graph

52.a f is continuous and differentiable everywhere except at x=-5 and x=5, where it is undefined

b. f(0)=-1

c. Horizontal asymptote y=2 and vertical asymptotes x=-5 and x=5

d. f''(x) >0 on ( - ,-5) and ( 5,)

e. f''(x) <0 on (-5,5)

53. a f is continuous everywhere and differentiable everywhere except at x=0

b.f(0)=3

c.f'(x)> 0 on (-,-2) and (0,2)

d.f'(x) <0 on (-2,0) and (2, )

e.f''(x) <0 on (-,0) and (0,)

54. a f is continuous everywhere and differentiable everywhere except at x=0

b. f(0)=5

c. f'(x) <0 on (-,-3) and (0,3)

d. f'(x) > 0 on (-3,0) and (3, )

e. f''(x) > 0 on (-,0) and (0, )