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.

Tags

CCSS.HSF-IF.C.8B

Front

What are logarithmic functions the inverse of?

Back

Exponential Functions.

Tags

CCSS.HSF.BF.B.5

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Back

Front

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

Back

12,800.

Tags

CCSS.HSF-LE.A.1C

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.

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.8B

Front

How do you convert an exponential equation to logarithmic form?

Back

Tags

CCSS.HSF.BF.B.5

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