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

What does it mean if x-values repeat in a mapping?

Back

If x-values repeat in a mapping, it means that the relation is not a function, as one input cannot correspond to multiple outputs.

Front

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

Back

Not a function; the x-value 2 corresponds to two different y-values (3 and 5).

Front

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

Back

Function; each x-value corresponds to exactly one y-value.

Front

How can you tell if a graph is not a function?

Back

A graph is not a function if any vertical line drawn through it intersects the graph at more than one point.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents 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 relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.