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FUNCTIONS - Finding Domain & Range

FUNCTIONS - Finding Domain & Range

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.

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Tutorial

TO DO:

1) Take notes from the podcast

2) Add definitions to your vocabulary sheet

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}

Domain & Range Slides Part 1

Full Screen

Domain & Range Slides Part 2

Full Screen

Domain & Range Shown on a Finite Graph

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.