First Derivative Graphs Quiz Burst #1

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

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

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

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

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

Consider the  $f'\left(x\right)$  sign chart.  What can you conclude about the point  $x=6$  on  $f\left(x\right)$  ?

• local maximum

• local minimum

• stationary point/platuae point

Consider the  $f'\left(x\right)$  sign chart.  What can you conclude about the point  $x=9$  on  $f\left(x\right)$  ?

• local maximum

• local minimum

• stationary point/platuae point

Consider the  $f'\left(x\right)$  sign chart.  What is  $f'\left(3\right)=$  ?

•  $0$  

•  $+$  

•  $-$  

• unknown

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

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

• local maximum

• local minimum

• stationary point