Linear or Exponential?

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has 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 in which an independent variable is in the exponent. It has 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 have a constant rate of change, meaning the difference between consecutive y-values is the same for equal intervals of x.

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 have a constant ratio of change, meaning the ratio of consecutive y-values is the same for equal intervals of x.

Tags

CCSS.HSF-LE.A.1A

Front

What does the graph of a linear function look like?

Back

The graph of a linear function is a straight line that can slope upwards or downwards.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the graph of an exponential function look like?

Back

The graph of an exponential function shows rapid growth or decay, typically curving upwards or downwards.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF.LE.A.2

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

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) in a linear function is the value of y when x = 0.