Increasing Decreasing Functions Intervals

What are the intervals on which f(x) = 2x⁴- 4x² + 1 is strictly increasing?

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1, ∞)

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)

• f'(x) > 0 (positive)

• f'(x) is increasing

• Can't be determined

What do we know about the slope for increasing functions?

• The slope is positive

• The slope is negative

• There is zero slope

• increasing

• decreasing

• increasing and decreasing both

• neither increasing nor decreasing

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

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

• none of these