Consider the following functions

a. f(x) = 9x^2 - x^3

b. f(x) = (x+1)/(x-2)

c. f(x) = x^(2/3) * (x-5)

For each of the above functions complete the following table. Show the work to justify your answers below the table.

f(x) is increasing on

f(x) is decreasing on

Relative MAX of f(x) is at

Relative MIN of f(x) is at

x-intercept of f(x) is at

y-intercept of f(x) is at

f(x) is concave up on

f(x) is concave down on

Points of Inflection of f(x) is at