Connecting F F' F" Graphs

Which one of the following statements is always TRUE?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Tags

CCSS.HSF.IF.B.4

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

• increasing

• decreasing

• concave up

• concave down

Which of the following describes an interval of f(x) that is both decreasing and concave up?

• f '(x) < 0 and f "(x) < 0

• f '(x) < 0 and f "(x) > 0

• f '(x) > 0 and f "(x) > 0

• f '(x) > 0 and f "(x) < 0

f(x) is pictured. Inflection points are most likely at which x values?

• x=0 and 1.5

• x=2 and 2.5

• x=2.25

• x=1

Is this graph a function or not a function? 

• Function

• Not a Function

Is this graph a function or not a function? 

• Function

• Not a Function

Is the relation a function?

• Function

• Not a Function

• Function
• Not a Function

Is the graph showing a function?

• Yes

• No

Does the graph show a function?

• Yes

• No