Analyzing function behavior

9000070408

Level:

Given the function

f (x) = - x^{3} + 3 x^{2} + 45 x - 12

, find the intervals where

f

is an increasing function.

(- 3; 5)

(- \infty; - 3)

(5; \infty)

(- 12; 45)

Level:

Given the function

f (x) = \frac{x^{2}}{x - 2}

, find the intervals where

f

is a decreasing function.

(0; 2)

(- \infty; - 1)

(5; \infty)

(2; 5)

Level:

Given the function

f (x) = - \frac{x^{2}}{x + 3}

, find the intervals where

f

is an increasing function.

(- 3; 0)

(- \infty; - 6)

(0; \infty)

(- 3; 4)

Level:

Identify an asymptote to the graph of the following function.

f (x) = \frac{x^{2} + 4}{x}

y = x

y = x + 1

y = x - 1

y = - x