7th Hour: Functions

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 determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is the vertical line test?

Back

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

Front

Give an example of a function.

Back

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

Front

What is a non-function?

Back

A non-function is a relation where at least one x-value is paired with multiple y-values.

Front

Identify if the following is a function: {(1,2), (1,3), (2,4)}

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each y-value is paired with exactly one x-value.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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.