Relations and Functions

Front

What is a relation that pairs each input with exactly one output?

Back

Function

Front

Is the following table a function? (Input: 1, Output: 2; Input: 2, Output: 3; Input: 3, Output: 4)

Back

Function

Front

Determine if the relation is a function: {(1, 2), (1, 3), (2, 4)}

Back

Not a function, each input has more than one output.

Front

Which of the following relations is a function? {(1, 2), (2, 3), (3, 4)}, {(1, 2), (1, 3), (2, 4)}, {(1, 2), (2, 3), (2, 4)}

Back

{(1, 2), (2, 3), (3, 4)}

Front

List the ordered pairs from the relation: Input: 1, Output: 2; Input: 2, Output: 3; Input: 3, Output: 4

Back

(1, 2), (2, 3), (3, 4)

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is an example of a non-function relation?

Back

{(1, 2), (1, 3)} is a non-function because the input 1 has two different outputs.

Front

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn intersects the graph at most once.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent a point in a coordinate system, written as (x, y).