Is this 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 values is a function?

Back

A set of values is a function if no x-value repeats with a different y-value.

Front

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

Back

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

Front

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

Back

If a y-value repeats, it does not affect whether the relation is a function, as long as the x-values are unique.

Front

Is the relation (2,3), (2,4), (3,5) a function?

Back

No, it is NOT a function because the x-value 2 has two different y-values (3 and 4).

Front

Is the relation (1,2), (2,3), (3,4) a function?

Back

Yes, it IS a function because each x-value has a unique 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 a vertical line crosses the graph at more than one point, it is NOT a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Front

What is an example of a function?

Back

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

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.