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

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

Back

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

Front

What does it mean for ordered pairs to represent a function?

Back

Ordered pairs represent a function if no x-value is repeated with different y-values.

Front

Identify if the following set of ordered pairs is a function: {(2,3), (3,4), (2,5)}

Back

No, because the x-value 2 is paired with two different y-values (3 and 5).

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

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

Back

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

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions but does not have to.

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 an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x has a unique output.

Front

Is the following relation a function? {(1,2), (2,2), (3,2)}

Back

Yes, because each x-value (1, 2, 3) has only one y-value (2).