Linear Vs Exponential

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.

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 output is multiplied by a constant factor for each unit increase in the input.

Front

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

Back

In a linear function, the difference between consecutive outputs (y-values) is constant.

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

In an exponential function, the ratio of consecutive outputs (y-values) is constant.

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.

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 is a curve that increases rapidly.

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, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the general form of an exponential equation?

Back

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

Tags

CCSS.HSF.LE.A.2

Front

What is the slope in a linear function?

Back

The slope is the rate of change of the function, representing how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.