Relations, Functions, & Linear vs. Nonlinear

Front

What is the plane containing the x-axis and the y-axis called?

Back

The coordinate plane.

Tags

CCSS.5.G.A.1

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function?

Back

Check if each x-value has only one corresponding y-value.

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 an example of a linear function?

Back

y = 2x + 3.

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

Front

What does it mean for a function to be linear?

Back

It means the graph of the function is a straight line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be nonlinear?

Back

It means the graph of the function is not a straight line and can be curved.

Tags

CCSS.8.F.A.3

Front

Can a function have the same y-value for different x-values?

Back

Yes, as long as each x-value has only one y-value.

Tags

CCSS.8.F.A.1

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 has two y-values (2 and 3).

Tags

CCSS.8.F.A.1