Attributes and Transformations of Exponential Functions

Front

What is an exponential function?

Back

Front

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

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential function?

Back

Tags

CCSS.HSF.LE.A.2

Front

How does a positive value of 'a' affect the graph of an exponential function?

Back

A positive value of 'a' results in the graph being above the x-axis, indicating that the function is always positive.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of a negative value of 'a' in an exponential function?

Back

A negative value of 'a' reflects the graph over the x-axis, resulting in negative values for the function.

Tags

CCSS.HSF-IF.C.7E

Front

What is a vertical translation in the context of exponential functions?

Back

A vertical translation occurs when a constant 'k' is added to the function, shifting the graph up or down by 'k' units.

Tags

CCSS.HSF.BF.B.3

Front

What is a horizontal shift in exponential functions?

Back

Tags

CCSS.HSF-IF.C.7E

Front

What is an asymptote in relation to exponential functions?

Back

Tags

CCSS.HSF-IF.C.7E

Front

Back

Tags

CCSS.HSF-IF.C.7D

Front

What does it mean for an exponential function to exhibit exponential growth?

Back

Exponential growth occurs when the function increases rapidly as 'x' increases, typically represented by a base greater than 1.

Tags

CCSS.HSF-IF.C.8B