Derivative Graphs Quiz

In the following picture, what does the

 $+$  
mean about the graph of  $f\left(x\right)$  

•  $f\left(x\right)$  is increasing

•  $f\left(x\right)$  is decreasing

•  $f\left(x\right)$  is positive

•  $f\left(x\right)$  is negative

Tags

CCSS.HSF.IF.B.4

Consider the  $f'\left(x\right)$  sign chart.  What can you conclude about the point  $x=2$  on  $f\left(x\right)$  ?

• local maximum

• local minimum

• stationary point/platuae point

When  $f'\left(x\right)$  changes from positive to negative, this is called a 

• local maximum

• local minimum

• stationary point

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

f''(x) is pictured. Which x values are inflection points of f(x)?

• x=-5 and -1
• x=-3
• x=4
• no inflection points

Tags

CCSS.HSA.REI.D.10

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

• increasing
• decreasing
• concave up
• concave down

7.

• (A)

• (B)

• (C)

• (D)

f' is given, which could be f?

• A
• B
• C

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which of the following statements must be true?

I. f has a relative Min at x=-3.

II. The graph of f has a point of inflection at x=2.

III. The graph of f is concave down for 0 < x < 4.

• I only

• II only

• III only

• I and II only

• I and III only

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are all intervals on which the graph of f is concave down?

• -1 < x < 1

• 0 < x < 2

• 1 < x < 3 ONLY

• -2 < x < -1 ONLY

• -2 < x < -1 AND 1 < x < 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7