Linear and Nonlinear Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If a horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include curves, parabolas, etc.

Tags

CCSS.8.F.A.3

Front

Give an example of a linear function.

Back

An example of a linear function is f(x) = 2x + 3.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Give an example of a nonlinear function.

Back

An example of a nonlinear function is f(x) = x^2.

Tags

CCSS.8.F.A.3

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-value has only one corresponding y-value.

Front

Can a vertical line represent a function?

Back

No, a vertical line (like x = 7) does not represent a function because it has multiple y-values for a single x-value.

Front

What is the definition of a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1