Increasing and Decreasing Polynomials

Given a function, f(x), if f'(x)<0 over a certain interval, then f(x) is ____________ over that interval.

• decreasing

• increasing

• concave up

• concave down

Tags

CCSS.HSF.IF.B.4

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

Where is the function increasing?

• (-∞,5]

• (-∞,0]

• (-∞,2]

• [0,2]

Is the following an increasing, decreasing or constant function?

• increasing

• decreasing

• constant

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What do we know about the slope for increasing functions?

• The slope is positive

• The slope is negative

• There is zero slope

Tags

CCSS.8.EE.B.5

What is the increasing interval on the function shown?

What is the interval of increase and decrease in the following function.

• Decreasing at (5, 0) and (0, 2)

• Decreasing at (-5, -2) and (0, 2)

• Increasing at (2, 6)

What is the increasing interval for the function?

What is the increasing interval on the function shown?