Exploring Functions and Relations in Algebra 2

What is a relation in the context of algebra?

• A set of numbers

• A set of ordered pairs

• A mathematical operation

• A single number

Which of the following is NOT a way to represent a relation?

• Equations

• Tables

• Mappings

• Ordered pairs

In a table of values, how can the data be arranged?

• Diagonally

• Both horizontally and vertically

• Vertically only

• Horizontally only

What is the independent variable typically represented by?

• y

• z

• x

• a

In the example of a comprehension test, what is the dependent variable?

• The grade on the test

• The textbook material

• The number of students

• The silence or TV on

What is a function in mathematical terms?

• A relation where each element of the domain is paired with exactly one element in the range

• A set of ordered pairs

• A mathematical operation

• A graph with plotted points

In the vending machine example, why would pressing A8 and getting either Lay's or M&Ms indicate it is not a function?

• Because it has multiple inputs for a single output

• Because it has multiple outputs for a single input

• Because it is a set of ordered pairs

• Because the machine is broken

What should you look for to determine if a relation is not a function?

• Different x values with the same y value

• No repeated values

• Repeated y values

• Repeated x values with different y values

In a graph, what indicates that a relation is not a function?

• Repeated y values

• Repeated x values with the same y values

• Repeated x values with different y values

• No repeated values

What test can be used to determine if a graph represents a function?

• Diagonal line test

• Horizontal line test

• Vertical line test

• Parallel line test