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Course: Algebra I / Elementary Algebra
Topic: Functions and Graphs I
Subtopic: Functions II - Domain, Range, and Operations

Overview

We recently introduced functions and function notation. Today we delve deeper into the graphs of functions by studying the domain and range of a function. We learn to perform algebraic operations on functions such as multiplying two functions together to form a new function.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 3.4.1 Find domain and range given: set of ordered pairs, mapping, graph, or equation
• 3.4.2 Perform operations on function (e.g., add, subtract, multiply by a number, find the product or quotient of two functions)
• 3.4.3 Find domain restrictions (if any) of a "combination" function such as fg or f/g

Terminology

Define: domain, range, product, quotient, combination function