Relations and Functions

Function

A relation where every input has only one output value.

Relation

A set of ordered pairs of input values and output values.

Domain

All input values (x-values)

Range

All output values (y-values)

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

D: {-2, -1, 3, 4}; R: {-4, -3, 0, 2, 4}

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

D: {-4, -1, 2, 3, 5}; R: {-5, -3, -2, 1, 2}

T/F: All relations are functions

False

What is the domain and range of the following relation? Is it a function? {(1, -2), (-2. 0), (-1, 2), (1, 3)}

No, it is not a function. Domain: -2, -1, 1 Range: -2, 0, 2, 3

T/F: All functions are relaitons

True

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

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

What is the domain and range of the following relation? Is it a function? {(1, 1), (2, 2), (3, 5), (4, 10), (5, 15)}

Yes, it is a function. Domain: 1, 2, 3, 4, 5 Range: 1, 2, 5, 10, 15

dependent variable

a variable ( y-value ) whose value depends on that of another.

Independent Variable

a variable (x-value ) that can stand alone

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

domain: {-1, 2, 3, 4} range:{-3, -2, 0, 1}

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

domain: {-4, 0, 2, 3} range:{-4, -3, -1, 0}

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

domain: {1, 2, 3, 4} range:{-2, -1, 2, 4}