Is it a function?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify if the following is a function: (2,3), (2,4), (3,5).

Back

Not a function, because the input 2 has two different outputs (3 and 4).

Front

Identify if the following is a function: (1,2), (2,3), (3,4).

Back

Function, because each input has a unique output.

Front

What is a set of ordered pairs?

Back

A set of ordered pairs is a collection of pairs of numbers, where the first number is the input (x-value) and the second number is the output (y-value).

Front

Which of the following is a function? (1,2), (1,3), (2,4) or (1,2), (2,2), (3,3)?

Back

(1,2), (2,4) is a function because each input has a unique output.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the input 1 has two outputs (2 and 3).

Front

What is the definition of a domain in a function?

Back

The domain is the set of all possible input values (x-values) for a function.