Exponential Functions

Front

What is an exponential function?

Back

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the function increases rapidly as 'x' increases (b > 1), while exponential decay occurs when the function decreases rapidly as 'x' increases (0 < b < 1).

Tags

CCSS.HSF-IF.C.8B

Front

Back

'a' represents the initial value or the y-intercept of the function.

Tags

CCSS.HSF.LE.B.5

Front

Back

The y-intercept is 2, which is the value of the function when x = 0.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify exponential growth from a graph?

Back

Exponential growth is identified by a curve that rises steeply to the right, indicating that the function increases rapidly.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify exponential decay from a graph?

Back

Exponential decay is identified by a curve that falls steeply to the right, indicating that the function decreases rapidly.

Tags

CCSS.HSF-IF.C.7E

Front

What is the general form of an exponential decay function?

Back

Front

What is the base of an exponential function?

Back

Tags

CCSS.HSF-IF.C.8B

Front

If a function is described as exponential decay, what can you say about its base?

Back

The base 'b' must be between 0 and 1 (0 < b < 1).

Tags

CCSS.HSF-IF.C.8B

Front

What is an example of an exponential growth function?

Back

Tags

CCSS.HSF-LE.A.1A