Exponential Functions

Front

What is an exponential function?

Back

Front

What does the base 'b' in an exponential function represent?

Back

The base 'b' represents the growth factor. If b > 1, the function represents exponential growth; if 0 < b < 1, it represents exponential decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential function?

Back

Tags

CCSS.HSF.LE.A.2

Front

What is the y-intercept of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify an exponential function from a table of values?

Back

An exponential function can be identified if the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) are increased by the same amount.

Tags

CCSS.HSF-LE.A.1A

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant factor.

Front

Back

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

Tags

CCSS.HSF.LE.B.5

Front

What is the slope in the context of an exponential function?

Back

Exponential functions do not have a constant slope; the slope changes at different points along the curve.

Front

What is the domain of an exponential function?

Back

Front

What is the range of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E