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

Front

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

Back

Decay

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

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.

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.

Front

What is the general form of an exponential growth function?

Back

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

Front

What is the general form of an exponential decay function?

Back

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