Sketch the graph of a function f(x) that is defined everywhere on the interval (-5,5) and satisfies the following conditions.

• f is an odd function

• f(1) = 1

• f has a vertical asymptote at x = 1

• The average rate of change of f(x) on the interval (-2, 2) is 1/2

• f is continuous at x = 2

• f is not differentiable at x = 2

•f has a vertical tangent at x = 3

• f' <0 on the interval (3,5)

• For any a, b in the interval (3, 5), the line segment between (a, f(a)) and (b, f(b)) is above f(x)