Domain and Range, Is it a Function??

Front

What is the definition of Domain in a relation?

Back

The set of all possible input values (x-values) for a function or relation.

Front

What is the definition of Range in a relation?

Back

The set of all possible output values (y-values) for a function or relation.

Front

How do you determine the domain of a function from a graph?

Back

Identify all the x-values that the graph covers.

Front

How do you determine the range of a function from a graph?

Back

Identify all the y-values that the graph covers.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is the Vertical Line Test?

Back

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

What is the Horizontal Line Test?

Back

A method to determine if a function is one-to-one; if a horizontal line intersects the graph at more than one point, it is not one-to-one.

Front

If a relation has the pairs (1,2), (2,3), (3,4), is it a function?

Back

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

Front

If a relation has the pairs (1,2), (1,3), (2,4), is it a function?

Back

No, because the x-value 1 is paired with two different y-values.

Front

What is an example of a domain?

Back

For the function f(x) = x^2, the domain is all real numbers.