Functions Increasing and Decreasing Intervals

What is the increasing interval on the function shown?

Let f be the function with derivative given by f'(x) = x² - 2/x.  On which of the following intervals is f decreasing?  (No Calculator)

• (-∞, 0]

• (-1, 0]

• (0, ∛2]

• (∛2, ∞)

When both the independent and dependent variables of a function increase across the entire domain, the function is called a...

• Increasing Function

• Decreasing Function

• Constant Function

When the dependent variable of a function decreases as the independent variable increases across the entire domain, the function is called a...

• Increasing Function

• Decreasing Function

• Constant Function

The intervals in which the function f given by f (x) = x² – 4x + 6 is increasing is

• none of these

• none of these

The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is:

The function f (x) = tan x – 4x is strictly decreasing on

• none of these