Relations and 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

How can you determine if a relation is a function from a table?

Back

A relation is a function if no x-value is repeated with a different y-value.

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

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

Tags

CCSS.5.G.A.1

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Tags

CCSS.8.F.A.1

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 non-linear function?

Back

A non-linear 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

What is a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Tags

CCSS.8.F.A.1