Functions or Not Functions Flashcard

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 definition of '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

How can you determine if a table represents a function?

Back

Check if any x-value is repeated; if it is, the table does not represent a function.

Front

What is the vertical line test?

Back

A graph represents a function if no vertical line intersects the graph at more than one point.

Front

Given the pairs (3, 5), (4, 9), (2, 5), which pair could be added to maintain a function?

Back

(1, 9) can be added without repeating x-values.

Front

What does it mean for a mapping to be a function?

Back

In a mapping, each input must correspond to exactly one output.

Front

Is the set of points (9,5), (10,5), (9,-5), (10,-5) a function?

Back

No, because the x-value 9 corresponds to two different y-values (5 and -5).

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, but each input must have only one output.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value is unique.