Determining Whether a Relation Is a Function

A(n) __________ is a relation in which every input value is paired with exactly one output value.

• Relation

• Proportion

• Function

• Exponent

The __________ variable is the input of a function; a variable whose value determines the value of the output.

• Range

• Mapping Diagram

• Y-Axis

• Independent

A(n) __________ is a pairing of input values with output values.

• Relation

• Function

• Coordinate

• Table

The __________ is the set of all possible input values of a relation or function.

• Independent Variable

• Dependent Variable

• X-Axis

• Domain

When determining whether a relation is a function, data may be presented which of the following?

• Tables

• Graphs

• Ordered pairs

• All of these

Is the relation a function?

• No, there are not enough inputs to determine

• Yes, because the rate of pay is $10/hr

• No, there is no input for 30 hours worked

• Yes, there is a unique amount paid for the amount of hours worked

Which phrase is not true when defining the term "function?"

• y is a function of x, if there is a rule

• Given two variables, x and y

• x is a function of y, if there is a rule

• there is a unique y-value for each x-value

Is the floor the elevator takes you to a function of the floor button you pressed?

• No

• Yes

• Maybe

• Not enough information to determine

What does the mapping show?

• The elevator sometimes took people to Floor 1 and sometimes Floor 2 (malfunction)

• A function, because there is a unique y-value for each x-value

• The elevator took people to the basement

• None of these

A relation is a function if there is a unique ____-value for each input