Graphing Logs & Exponentials

Front

What determines whether an exponential function shows growth or decay?

Back

Growth or decay is determined by the value of the base.

Front

What are logarithmic functions the inverse of?

Back

Exponential Functions.

Front

Back

Front

If a population of 25,000 decreases by 20% each year, what will it be after 3 years?

Back

12,800.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^x, where a is the initial amount and r is the growth rate.

Front

What is the general form of an exponential decay function?

Back

f(x) = a(1 - r)^x, where a is the initial amount and r is the decay rate.

Front

How do you convert an exponential equation to logarithmic form?

Back

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What is the product property of logarithms?

Back

Front

What is the quotient property of logarithms?

Back