Identify Functions

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What does it mean for x-values in a function?

Back

In a function, x-values cannot repeat; each input must be unique.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the rate of change in a function?

Back

The rate of change is the ratio of the change in the y-values to the change in the x-values, often represented as slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, indicating a constant rate of change.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line, indicating a variable rate of change.

Tags

CCSS.8.F.A.3

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Tags

CCSS.5.G.A.1

Front

Can a set of ordered pairs be a function?

Back

Yes, a set of ordered pairs is a function if no two pairs have the same x-value.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.