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

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

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Tags

CCSS.8.F.A.1

Front

What does a linear function look like on a graph?

Back

A linear function appears as a straight line on a graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a nonlinear function look like on a graph?

Back

A nonlinear function appears as a curve or any shape that is not a straight line.

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

What is the vertical line test?

Back

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

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions.

Tags

CCSS.8.F.A.1

Front

What is the difference between a function and a relation?

Back

All functions are relations, but not all relations are functions; functions have unique outputs for each input.

Tags

CCSS.8.F.A.1