Graphing exponential and logarithmic functions

• A
  Growth
• B
  Decay
• C
  Both
• D
  Neither

Check all boxes that apply given the function

 $y=2^x$  

• The y-intercept is 1
  

• This function decreases for all values of x

• As  $x\rightarrow\infty$  ,  $y\rightarrow\infty$   [As x's get larger, the y values also get larger]

• The common ratio is 2

• The graph will cross the x-axis

What is the vertical shift of this graph?

• left 6 units

• right 6 units

• up 6 units

• down 6 units

Choose the statements that apply to the function

 $f\left(x\right)=3^x-2$  
Select all that apply

• There is a horizontal asymptote at y = -2

• There is a vertical asymptote at x = 9

• The domain is the set of all real numbers

• The range is the set of all real numbers

• The y-intercept is (0, -1)

What is the y-intercept represented by the equation

 $g\left(x\right)=\left(4\right)^x$  

• (0,4)

• (4,0)

• (0,0)

• (0,1)

• (1,0)

What is this graph?

• cubic
• linear
• quadratic
• exponential

As x→ -2, f(x) →

• ∞

• -∞

• -4

• -2

The graph of an exponential function is shown. Which dashed line represents the asymptote of the function?

• Line A

• Line B

• Line C

• Line D

What is the y -intercept of  y=3(4)^x?

• 1
• 0
• 4
• 3

What is the asymptote of y = 2^x ?

• y = 0

• x = 0

• y = 1

• x = -5