Calculus

Given the graph of 

 $f'\left(x\right)$  , on what interval(s) is the graph of   f    concave down?    Choose all that apply.

•  $\left(-\infty,2\right)$  
  

• (-2,1)

• (2,8)

• (5,8)

•  $\left(5,\infty\right)$  

Given the graph of 

 $f'\left(x\right)$  , on what interval(s) is the graph of   f    decreasing?    Choose all that apply.

•  $\left(-\infty,2\right)$  
  

• (-2,1)

• (2,8)

• (5,8)

•  $\left(8,\infty\right)$  

Given the graph of 

 $f'\left(x\right)$  , on what interval(s) is the graph of   f    increasing?    Choose all that apply.

•  $\left(-\infty,-2\right)$  
  

• (1,5)

• (2,8)

• (1, 2)

•  $\left(-\infty,2\right)$  

Which function below matches this graph?

• 3+sin(x)
• 3sin(x)
• sin3(x)
• sin(x-3)

• The values of f(x) as x is 2 equals 5

• The values of f(x) as x approaches from the left and right of 2 is 5 and f(2) must be 5

• The value of f(2) is 5.

• The values of f(x) as x approaches to 2 from the left and right is 5 but f(2) is not necessarily 5

• A
• B
• C
• D

• (A)
• (C)
• (D)
• (E)

• A
• B
• C
• D

dy/dx = .5 y (cos(x))

• A
• B
• C
• D

From the graph, what are the equations of the vertical asymptotes?

• x=-7

  x=-3

  x=0

  x=6

• -7

  -3

  0

  6

• y=-7

  y=-3

  y=0

  y=6

• x-axis

  y-axis