Linear Functions

Front

What is the definition of a function?

Back

Every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

If the differences between consecutive y-values are constant for equal differences in x-values.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of a linear function?

Back

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 of a linear function?

Back

The value of y when x is 0, represented as the point (0, b) in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the equation y = mx + b represent?

Back

The slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change, while nonlinear functions do not.

Tags

CCSS.8.F.A.3

Front

What is an example of a linear function?

Back

y = 2x + 1.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is an example of a nonlinear function?

Back

y = x^2.

Tags

CCSS.8.F.A.3