1 - 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

Does the relation (1,5), (1,6), (1,7), (1,8), (1,9) represent a function?

Back

No, because the x-value 1 has multiple y-values.

Front

Is the set of ordered pairs {(2,3), (3,4), (4,5)} a function?

Back

Yes, because each x-value has only one y-value.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

If a relation has the ordered pairs (1,2), (2,3), (3,4), is it a function?

Back

Yes, because each x-value has only one y-value.

Front

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

Back

No, because the x-value 1 has two y-values.

Front

What does it mean for a relation to not be a function?

Back

It means that at least one x-value is paired with more than one y-value.

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.

Front

Is the mapping from x to y defined as x=1 maps to y=2, x=2 maps to y=3 a function?

Back

Yes, because each x-value has only one y-value.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function.