Algebra 1 End-of-Course Review

# Module Three: Relations and Functions

Venn Diagrams and Sets

In this module, you will learn how Venn Diagrams and Sets are used. Let's review some terms! Select the term below to review its definition.

Now look at a couple of examples to review some of this material.

Relations and Functions

Relations can be represented as a list of ordered pairs, graphed on a coordinate plane, listed in an x-y table of values, or as a mapping.

Using this relation, R = {(2, 3), (1, 2), (4, 2), (2, –1), (–2, 1)}, identify the domain (x-values) and range (y-values).  Recall the following:

• List the numbers separated by commas inside of braces.
• Duplicate values are only listed once.
• List values from least to greatest.

Is this relation also a function?

To evaluate the function for a particular value, substitute the input value (x-value) and simplify.  The result is the output value (y-value). The input and output values can be written as ordered pairs (input value, output value) or (x, y).

Input value → x Output value → f(x), also known as the y-value

Caution: Sometimes you will be given the output value and be asked to find the input value. Look carefully at the wording.

Here are some more examples that will help you understand domain and range, determining whether a relation is a function, and evaluating functions.