Identifying functions

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

Which of the following is a function? {(2,3), (3,4), (2,5)}

Back

Not a function, because the input 2 has two different outputs (3 and 5).

Front

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

Back

This is a function, as each input has a unique output.

Front

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

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you tell if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input is connected to exactly one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

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.

Front

What is the definition of a range in a function?

Back

The range is the set of all possible output values (y-values) for a function.