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 relation is a function using a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if an x-value has two different y-values in a relation?

Back

It means the relation is not a function because a function must have only one output for each input.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

Which of the following is a function: (2,3), (2,4), (3,5) or (1,2), (2,3), (3,4)?

Back

(1,2), (2,3), (3,4) is a function because each x-value is unique.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3)} is not a function because the x-value 1 has two different y-values.

Front

If a relation has the pairs (4,5), (4,6), (5,7), is it a function?

Back

No, it is not a function because the x-value 4 has two different y-values.

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

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 domain of a function?

Back

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