Exponential Functions Solving & Graphing

Transformations

100

|a|>1 Is this a Vertical Stretch?

True or False

True

200

Describe the transformation if f(x)=3^x is the parent function and g(x)=3^x+2 is the transformed function.

Horizontal translation left 2 units

300

Describe the transformation if f(x)=3(4)^x is the parent function and g(x)=.15(4)^x is the transformed function.

Vertical Compression

400

Describe the transformation if f(x)=-4^x-2 is the parent function and g(x)=4^x-2 is the transformed function

Reflection

Solve

100

2^x+1=2⁹

x=8

200

7^4x+11=1/7

x=-3

300

Drop the Bases...

and SET THE EXPONENTS EQUAL TO EACHOTHER

400

2^p-7=8

10

Graph

100

What is an Asymptote?

A line in which the graph gets close to but never crosses.

200

 f(x)=4/5(.8)^x-9

Growth or Decay

Decay

300

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

Exponential Growth

400

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

A)y = 50(.05)^x     B)y = 50^x - 4           

C)y = (2)^x + 50   D)y = 50(1.4)^x

D) y = 50(1.4)^x