Graph it and you can see. Concavity, max and min, etc.
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