Relations, Functions, & Linear vs. Nonlinear

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight lines when graphed, while nonlinear functions create curves.

Tags

CCSS.8.F.A.3

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of the x-axis and y-axis.

Tags

CCSS.5.G.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written as (x, y).

Tags

CCSS.5.G.A.1

Front

What does the x-coordinate represent in an ordered pair?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane.

Tags

CCSS.5.G.A.1

Front

What does the y-coordinate represent in an ordered pair?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane.

Tags

CCSS.5.G.A.1

Front

How can you identify a linear function from its graph?

Back

A linear function's graph is a straight line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function's graph is not a straight line and may be curved or have bends.

Tags

CCSS.8.F.A.3

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis.