Function or not 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 tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value is repeated with a different y-value.

Front

What does it mean if an x-value repeats in a set of ordered pairs?

Back

If an x-value repeats with different y-values, the relation is not a function.

Front

What does it mean if a y-value repeats in a set of ordered pairs?

Back

If a y-value repeats, it does not affect whether the relation is a function.

Front

Is the set of ordered pairs {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each x-value is unique.

Front

Is the set of ordered pairs {(1, 2), (1, 3), (2, 4)} a function?

Back

No, it is not a function because the x-value 1 has two different y-values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Can a function have negative numbers as inputs or outputs?

Back

Yes, functions can have negative numbers as inputs (x-values) or outputs (y-values).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 1, where each x-value has a unique y-value.

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 has two different y-values.