Relations and Functions

Linear

A relation that creates a straight line.

Non-linear

A relation that creates anything that is not a line.

Function

A relation where each input has exactly one output.

Relation

Any set of ordered pairs.

Relations Expressed as Mappings Express the following relations as a mapping diagram, then determine if is a function. {(-2, -1), (0, 3), (5, 4), (-2, 3)

No, it is not a function

Is this relation a function? {(1, -2), (-2. 0), (-1, 2), (1, 3)}

No, it is not a function.

Relations Expressed as Mappings Express the following relations as a mapping diagram, then determine if is a function. {(-1, 7), (0, -3), (1, 10), (0, 7)}

No, it is not a function. Domain: -1, 0, 1 Range: -3, 7, 10

Domain

The set of all possible inputs of a relation.

Range

The set of output values of a function.

Express the relation as a table and a graph. Then state the inputs and outputs {(3, 2), (-2, 4), (4, -4), (4, 0), (-1, -3)}

X: {-2, -1, 3, 4}; Y: {-4, -3, 0, 2, 4}

Express the relation as a table and a graph. Then state the inputs and outputs {(-1, -5), (2, -3), (3, -2), (5, 1), (-4, 2)}

X: {-4, -1, 2, 3, 5}; Y: {-5, -3, -2, 1, 2}

Relations Expressed as Mappings Express the following relations as a mapping diagram, then determine if is a function. {(-1, 5), (0, 3), (2, 3), (3, -1)}

Yes, it is a function Domain: -1, 0, 2, 3 Range: 5, 3, -1

Draw the mapping diagram for the relation and determine whether it is a function or not. {(2, 4), (- 8, 0), (1, 5), (3, 1)}

Yes, it is a function.

Is the relation a function? {(1, 1), (2, 2), (3, 5), (4, 10), (5, 15)}

Yes, it is a function.

What are the inputs and outputs of the following relation? Is it a function? { (-1,2), (2, 51), (1, 3), (8, 22), (9, 51) }

Yes, it is a function. Inputs: -1, 2, 1, 8, 9 Outputs: 2, 51, 3, 22, 51

Express the relation as a table and a graph. Then state the inputs and outputs. {(4, −2), (−1, 1), (2, −3), (3, 0)}

inputs: {-1, 2, 3, 4} outputs:{-3, -2, 0, 1}

Express the relation as a table and a graph. Then state the inputs and outputs {(3, −4), (2, 0), (−4, −1), (0, −3)

inputs: {-4, 0, 2, 3} outputs:{-4, -3, -1, 0}

Express the relation as a table and a graph. Then state the inputs and outputs {(3, 4), (1, −2), (4, −1), (2, 2)}

inputs: {1, 2, 3, 4} outputs:{-2, -1, 2, 4}