Increasing and Decreasing Functions

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.HSF.LE.B.5

For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.

• increasing
• decreasing
• concave up
• concave down

Find the critical points of f(x) = 2x⁴- 4x² + 1

• x= 0
• x = -1, 1
• x = -1, 0, 1
• no critical points

Tags

CCSS.HSA.APR.B.3

If the 1st derivative is positive on a certain interval, then that interval is decreasing.

• True (Facts)

• False (Not Facts)

If f''(x)>0 over the interval (-7,1), then what will be true about f'(x)?

• It's constant
• It's increasing
• It's decreasing
• Cannot be determined

Tags

CCSS.HSF.IF.B.4

Over what interval is this function constant?

• -5 < x < ∞
• -3 < x < 4
• 4 < x < ∞
• -5

Tags

CCSS.HSF-IF.C.7B

What is the increasing interval for this function?

• (-6, -2)
• (-∞, ∞)
• (-2, 6)
• (-1, 3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _____________ at x.

• an inflection point
• a critical point
• a minimum
• a maximum

Where is the graph constant?

• x > 4

• -1 < x < 1

• x < -4

• 2 < x < 3

Tags

CCSS.HSF.IF.B.4