Exploring Functions and Relations

What is a relation in the context of mathematics?

• A set of numbers where each number is related to another

• A set of ordered pairs where X is the input and Y is the output

• A function that maps inputs to outputs

• A set of ordered pairs where each input has a unique output

Which of the following best describes the domain of a relation?

• The set of all possible functions

• The set of all input values

• The set of all output values

• The set of all ordered pairs

In a table representing a relation, what do the X and Y columns represent?

• X represents the input values and Y represents the output values

• X represents the output values and Y represents the input values

• Both X and Y represent input values

• Both X and Y represent output values

How is a mapping diagram used to represent a relation?

• By creating a graph with X and Y axes

• By connecting input values to output values with lines

• By listing all ordered pairs in a sequence

• By writing a function that describes the relation

What is the key characteristic of a function?

• Each output value has multiple input values

• Each output value has exactly one input value

• Each input value has multiple output values

• Each input value has exactly one output value

Which of the following is an example of a function?

• A relation where X = 3 maps to Y = 9 and X = 4 maps to Y = 12

• A relation where X = 3 maps to Y = 9 and X = 3 maps to Y = 12

• A relation where X = 3 maps to Y = 9 and X = 4 maps to Y = 9

• A relation where X = 3 maps to Y = 9 and Y = 12

What does the vertical line test determine?

• If a graph represents a relation

• If a graph represents a function

• If a graph has multiple inputs

• If a graph has multiple outputs

In the vertical line test, what indicates that a graph is not a function?

• The vertical line passes through the origin

• The vertical line passes through exactly one point

• The vertical line passes through more than one point

• The vertical line does not pass through any points

How can you use a mapping diagram to determine the domain and range?

• By drawing a graph

• By identifying the first column as the domain and the second column as the range

• By listing all ordered pairs

• By writing a function

What would an assignment for this lesson typically involve?

• Creating a set of ordered pairs

• Drawing a graph and using the vertical line test

• Listing the domain and range of a relation

• All of the above