+

# FUNCTIONS - Finding Domain & Range

##### Rating:
(4)
• (2)
• (1)
• (0)
• (0)
• (1)
Author: Kate Sidlo
##### Description:

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.

(more)

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

No credit card required

28 Sophia partners guarantee credit transfer.

281 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

## TO DO:

1) Take notes from the podcast

## FUNCTIONS - Finding Domain and Range

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}

of

of

## VOCABULARY

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.