y=a*b^x
Growth or Decay
Growth or Decay
100

What does a represent in the general form of an exponential function?

y=a*b^x




a=initial amount or y-intercept

100

If b>1 (growth factor>1) , the function is an exponential ____________ function. (growth or decay)

growth

100

Rabbit populations can double every month. If there are 10 rabbits on a farm, how many rabbits will be on the farm after 4 months?

160

200

What is the initial value for the function?

f(x)=2*3^x

 

2

200

If 0<b<1, the function is an exponential ____________ function. (growth or decay)

decay

200

f(x)=4(1.07)x

Does this functions represent exponential growth or decay? What's the growth factor?

Exponential Growth.  1.07

300

What is the y-intercept and range?

y-intercept = (0, 1)


300

f(x)=2(.93)x

Does this functions represent exponential growth or decay?

Decay

300

Does the graph represent exponential growth or decay?

Exponential Growth

400

What's the growth factor?

b=2

400

Write an equation/function to represent a town with an initial population of 1,400 people that doubles each year.


f(x)= 1400 (2)x

400

Is the function exponential growth or decay? What is the multiplier (common ratio)?

Decay  (.50)  or 

1/2

500

What is the difference between linear functions and exponential functions?

Linear functions have a common difference (repeated addition)

Exponential functions have a growth factor (repeated multiplication)

500

Robby purchased a car for 26,400 and every year the car is worth 2/3 as much as the previous year. Write an equation/function to represent this scenario.


f(x)=26400*(2/3)^x

500

Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years? 

530,000(1.05)=$710,250.69