Identifying Functions on a Table

Front

What is a function?

Back

A function is a relation where each input (x) has exactly one output (y).

Front

How can you identify a function from a table?

Back

Check if any input (x) value is repeated; if it is, then it is not a function.

Front

What does it mean if a table has repeated x-values?

Back

If a table has repeated x-values, it means that the relation is not a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input (x) values for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output (y) values for the function.

Front

If a table shows x-values of 1, 2, 3 and y-values of 4, 5, 6, is this a function?

Back

Yes, because each x-value has a unique y-value.

Front

If a table shows x-values of 1, 2, 2 and y-values of 3, 4, 5, is this a function?

Back

No, because the x-value 2 is repeated with different y-values.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x has one corresponding y.

Front

What is a non-function?

Back

A non-function is a relation where at least one input (x) has multiple outputs (y).

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line crosses a graph more than once, it is not a function.