Exponential Functions, Growth, and Decay Flashcards
1
Q
What is an Exponential Function?
A
A function of the form f(x)=ab^x. a and b are real numbers that do not equal zero.
2
Q
What is the Base?
A
The number of a power that is used as a factor.
3
Q
What is Exponential Growth?
A
A function of the form f(x)=ab^x in which b>1. If r is the rate of growth, then the function can be written y=a(1+r)^t where a is the initial amount and t is the time.
4
Q
What is Exponential Growth?
A
A function of the form f(x)=ab^x in which 0<b><1. If r is the rate of decay, then the function can be written y=a(1-r)^t, where a is the initial amount and t is the time.</b>
5
Q
What does the t power represent?
A
The number of time periods.
