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 is the definition of 'Not a Function'?

Back

A relation is 'Not a Function' if at least one input (x-value) has more than one output (y-value).

Front

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

Back

No, because the x-value 1 has two y-values (2 and 4).

Front

Is the relation {(3, 5), (4, 6), (3, 7)} a function?

Back

No, because the x-value 3 has two y-values (5 and 7).

Front

Is the relation {(5, 8), (6, 9), (7, 10)} a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is 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 pairs (2, 3), (2, 4), (3, 5), is it a function?

Back

No, because the x-value 2 has two y-values (3 and 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 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)}.