Is it 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

What does it mean if a relation is 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

Given the set of ordered pairs {(2,3), (2,4), (5,6)}, is this a function?

Back

No, because the x-value 2 is paired with two different y-values (3 and 4).

Front

What is the vertical line test?

Back

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

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 corresponding y-value.

Front

What is an example of a function?

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

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), (2,4)}.

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 the definition of a mapping in mathematics?

Back

A mapping is a relationship between two sets that assigns each element of the first set to exactly one element of the second set.

Front

Is the relation {(1,5), (2,5), (3,5)} a function?

Back

Yes, because each x-value has only one y-value, even though the y-value is the same.