Author:
Kate Sidlo

By the end of this tutorial students will be able to describe the domain and range of a function using inequalities when given a finite or infinite graph.

Students will be able to list the values of domain and range for a function given a table.

Tutorial

1) Take notes from the podcast

2) Add definitions to your vocabulary sheet

This video explores finding domain and range of finite and infinite function graphs as well as tables.

Students list domains and ranges as double inequalities (Example: min < x < max) and use positive and negative infinity for infinite functions.

Students list domains and ranges as a list in a set of brackets for tables. Example: {4, 5, 6}

**DOMAIN:** The set of all inputs or x-values for a function

**FINITE:** A set that ends. Shown on a graph with using points at the ends.

**FUNCTION:** A relationship where every input has one and only one output

**INFINITE:** A set that never ends; lasts forever. Shown on a graph using arrows at the ends.

**INPUT:** A term or number that is plugged into a relationship; the x-variable in an ordered pair

**RANGE:** The set of all outputs or y-values for a function.

**RELATIONSHIP:** A comparison of terms, variables, and/or numbers (typically an equation or inequality)

**OUTPUT:** A term or number that is the answer or solution to a relationship; the y-variable in an ordered pair

**VERTICAL LINE TEST:** A test that uses vertical lines to check if a graph is a function. Each vertical line can intersect a graph only once for a graph to be a function.