Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: 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

Terms you should be able to define: domain, range, product, quotient, combination function