1.6 & 1.7: Relations and Functions

Front

Is this a function?

Back

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

Front

Is this mapping a function or not a function?

Back

Not a Function, a mapping is not a function if an input has more than one output.

Front

Given f(x) = 3x + 7, find f(5).

Back

f(5) = 22.

Front

What is the range?

Back

The range is the set of all y-values in a function.

Front

A set of ordered pairs is called what?

Back

Relation.

Front

What is a function?

Back

A function is a special type of relation where each input is paired with exactly one output.

Front

What is the domain of a function?

Back

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

Front

What does the Vertical Line Test determine?

Back

The Vertical Line Test determines if a relation is a function; if a vertical line intersects the graph more than once, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written as (x, y).

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function cannot.