Exponential Functions

Front

What is the common ratio in an exponential function where the f(x) values are divided by 3?

Back

1/3

Front

In the exponential function y=ab^x, which variable represents the time passed?

Back

x

Tags

CCSS.HSF.LE.B.5

Front

What type of function is represented by a graph that shows decay?

Back

Decay

Tags

CCSS.HSF-IF.C.7E

Front

Identify the common ratio (multiplier) in the function f(x)=2(4)^x.

Back

4

Front

Is the function f(x) = 2(1.25)^x an example of decay or growth?

Back

Exponential Growth

Tags

CCSS.HSF-IF.C.8B

Front

What is an exponential function?

Back

A mathematical function of the form f(x) = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What does the base in an exponential function determine?

Back

The rate of growth or decay of the function.

Tags

CCSS.HSF-IF.C.8B

Front

How can you determine if an exponential function represents growth or decay?

Back

If the base (b) is greater than 1, it represents growth; if 0 < b < 1, it represents decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^x, where 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 r is the decay rate.

Tags

CCSS.HSF-IF.C.8B