Domain and Range

Front

What is a function?

Back

A function is a relation in which each input (or domain value) is associated with exactly one output (or range value).

Front

How can you determine if a relation is a function?

Back

You can determine if a relation is a function by using the vertical line test: if a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

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

What does it mean for a function to have all real numbers as its domain?

Back

It means that the function can accept any real number as an input value.

Front

What are ordered pairs in a relation?

Back

Ordered pairs are pairs of numbers (x, y) that represent the input and output values of a relation.

Front

What is the significance of the vertical line test?

Back

The vertical line test is used to determine if a graph represents a function; if any vertical line crosses the graph more than once, the graph does not represent a function.

Front

What is a finite domain?

Back

A finite domain is a domain that contains a limited number of elements.

Front

What is an infinite domain?

Back

An infinite domain is a domain that contains an unlimited number of elements, such as all real numbers.

Front

How do you find the domain of a function from its graph?

Back

To find the domain from a graph, identify all the x-values for which the graph has points.