Exponent Laws
Exponential Functions
Linear or Exponential
Growth or Decay
True/False
100
(5x^3)(7x^8)
(35x^11)
100
In the growth model below, what is the initial amount?
y=2000(1+.04)^x
2000
100
Does the table display exponential or a linear model?
Linear; Data has a constant rate of change.
100
Does the graph represent exponential growth or exponential decay?
Exponential decay
100
In an exponential equation, if the base "b" is bigger than 1, then the graph will display exponential decay.
False! If the base "b" is greater than 1, then it will be exponential growth!
200
(3x^3)^2
9x^6
200
In the decay model below, what is the percent rate of decay?
y=2000(1-0.6)^x
60%
200
Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.
Linear
200
Does the equation below represent exponential growth or exponential decay?
y=0.5^x
Exponential decay because the base is 0.5 which is less than 1!
200
In an exponential equation, if the base "b" is between 0 and 1, then the graph will display exponential decay.
True! If "b" is between 0 and 1, the graph will be an exponential decay graph!
300
x^10/x^4
x^6
300
In the growth model below, what is the time in years?
y=75000(1.3)^5
5 years
300
Does the table display exponential or a linear model? 
Exponential; data does not have a constant rate of change, the y-values double (multiply by 2) each tim.
300
Does the equation below represent exponential growth or exponential decay?
y=5(2)^x
Exponential growth because the base is 2 and that is greater than 1!
300
The value of a car is an example of a situation that would display exponential growth.
False; The value of a car decreases exponentially over time, so it would be exponential decay!
400
(x^8/x^3)^5
x^25
400
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
y=422000(1.12)^x
400
Linear or exponential: You set a savings plan for yourself and put $0.50 into your piggy bank. You will doubel the amount saved each day.
Exponential
400
Does the equation below represent exponential growth or exponential decay?
y=2(0.3)^x
Exponential decay because the base is 0.3 and that is less than 1
400
When we graph exponential functions, it should touch the x-axis.
False!