Exploring Functions and Relations

What is a relation in mathematics?

• A single number

• A set of ordered pairs

• A mathematical operation

• A type of graph

Which of the following represents the domain of a relation?

• All y values

• All ordered pairs

• All numbers in a table

• All x values

In a table, how do you identify the range?

• By listing all numbers in the first column

• By listing all ordered pairs

• By listing all y values

• By listing all x values

What makes a relation a function?

• There are no repeated y values

• Each x value has exactly one y value

• There are no repeated x values

• Each y value has exactly one x value

Which of the following is NOT a function?

• (-2, 0), (0, 3), (4, -7), (-2, -1)

• (-5, 0), (0, 1), (0, 4), (3, -7)

• (2, 1), (6, 3), (1, 8), (-1, 3)

• (3, 0), (3, 1), (4, 2), (5, 3)

What is the vertical line test used for?

• To determine if a graph is a function

• To find the domain of a function

• To find the range of a function

• To determine if a graph is one-to-one

If a vertical line intersects a graph at more than one point, what can be concluded?

• The graph is not a function

• The graph is one-to-one

• The graph is not one-to-one

• The graph is a function

What is a one-to-one function?

• A function that passes only the vertical line test

• A function where each x value has exactly one y value and vice versa

• A function where each y value has multiple x values

• A function where each x value has multiple y values

Which test must a graph pass to be considered a one-to-one function?

• Neither vertical nor horizontal line tests

• Vertical line test only

• Horizontal line test only

• Both vertical and horizontal line tests

In a one-to-one function, what is true about the x and y values?

• Both x and y values can repeat

• Y values can repeat but x values cannot

• Neither x nor y values can repeat

• X values can repeat but y values cannot