Linear vs Exponential Functions

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is an exponential function?

Back

An exponential function is a function where the variable is in the exponent. It can be expressed in the form y = a(b^x), where a is a constant, b is the base, and x is the exponent.

Front

How can you identify a linear function from a table of values?

Back

A linear function will show a constant difference between consecutive y-values for equal increments in x-values.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

An exponential function will show a constant ratio between consecutive y-values for equal increments in x-values.

Tags

CCSS.HSF-LE.A.1A

Front

What does it mean for a function to multiply the same number each time?

Back

This describes an exponential function, where each output is obtained by multiplying the previous output by a constant factor.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

Front

What is the general form of an exponential equation?

Back

The general form of an exponential equation is y = a(b^x), where a is a constant and b is the base.

Tags

CCSS.HSF.LE.A.2

Front

Give an example of a linear function.

Back

An example of a linear function is y = 3x + 2.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Give an example of an exponential function.

Back

An example of an exponential function is y = 2(3^x).

Front

What is the slope in a linear function?

Back

The slope (m) in a linear function represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5