Relating f(x) and f'(x)

If a function has a first derivative that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

• The function is Concave up

• The function is Concave dwon

Given the graph of f ' (x) the derivative of f, over what interval is f (x) increasing?

• f ( x) is always decreasing

If the first derivative of a function changes from positive to negative at a certain point, then that point is a known as a relative minimum.

• True (Facts)

• False (Not Facts)

Which of the following could be the graph of f ' , the derivative of f ?

• 
• 
• 
• 
• 

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

• increasing

• decreasing

• concave up

• concave down

f' is given, which could be f?

• A
• B
• C

Where does the function, f(x) = 2x³ - 9x² + 12x -3 have relative max/min values?

• Rel max x = -1, Rel min x = 2

• Rel min x = 1, Rel min x = 2

• Rel max x = 1, Rel min x = 2

• Rel max x = 2, Rel min x = 1

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

• increasing
• decreasing
• concave up
• concave down

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.8.EE.B.5

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

Tags

CCSS.HSF.IF.B.4