Graphing and Solving Exponentials Review

Select ALL the functions that show an exponential decay.

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: −∞<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Given y=3^x determine the y-intercept.

Pretty please remember how to determine the y-intercept for any type of function.

• (0,1)
• (0,3)
• No Y-intercept
• (1,0)

• (3,1)

Which of the following is an increasing exponential function whose y-intercept is 50?

Again, puh-lease remember how to find the y-intercept of any function.

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

What is the horizontal asymptote for the graph of

f(x)=2(3)^x ?

• y=2

• y=0

• y=3

• x=-4

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal Shift to the right 1 unit
• Horizontal shift to the left one unit
• Vertical shift one unit up
• Vertical shift one unit down

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

What transformations have occurred from  $f\left(x\right)=2^x$   to  $g\left(x\right)=-3\left(2\right)^x-7$  

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the asymptote, horizontal shift right 3, vertical shift down 7 

• Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7