What does a represent in the general form of an exponential function?
y=a*b^x
a=initial amount or y-intercept
If b>1 (growth factor>1) , the function is an exponential ____________ function. (growth or decay)
growth
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
What is the initial value for the function?
f(x)=2*3^x
2
If 0<b<1, the function is an exponential ____________ function. (growth or decay)
decay
f(x)=4(1.07)x
Does this functions represent exponential growth or decay? What's the growth factor?
Exponential Growth. 1.07
What is the y-intercept and range?
y-intercept = (0, 1)
f(x)=2(.93)x
Does this functions represent exponential growth or decay?
Decay
Does the graph represent exponential growth or decay?
Exponential Growth
What's the growth factor?
b=2
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
Is the function exponential growth or decay? What is the multiplier (common ratio)?
Decay (.50) or
1/2
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)
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
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)6 =$710,250.69