Exponential Functions and Transformations

Which of the following best represents the graph?

• y=2^x

• x=2^y

• y=x²

• y=2^-x

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

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

What is the x-intercept of the exponential function? 

• (0,1)

• (0,0)

• There is not one

Given y=3^x determine the asymptote

• (0,1)

• (0,3)

• x=0

• y=0

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

What transformations occur in the following function?

• right 3, up 2

• left 3, up 2

• left 3, down 2

• right 3, down 2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay