Math 102/Chapter 3
From charlesreid1
Contents
Chapter 3: Functions and Graphs
Chapter 3: Functions and their graphs
 Functions

Graphs of functions(SKIP)  Properties of functions
 Library of functions, piecewise functions
 Graphing transformations
 Building functions (modeling)
Section 3.1: Functions
Function relations
Maps and ordered pairs as relations
Determining whether a relation is a function
Determining whether an equation is a function
Finding values of a function
Finding values of a function on a calculator
Finding domain of function
Operations on functions
Section 3.2: Graph of function (SKIP)
Vertical line test
Identifying graphs that are or are not functions
Obtaining information from graph of function
Average cost function
Section 3.3: Properties of functions
Determining even and odd functions from graph
Determining even and odd functions algebraically
Determining where function is increasing, decreasing, or constant from grahp
Using graph to locate maxima and minima
Finding local maxima/minima from graph of function and determining where increasing/decreasing/constant
Finding absolute maxima and absolute minima for graph of function
Using graphing utility/calculator to locate local minima/maxima
Finding average rate of change
Finding equation of secant line (for rate of change applications)
Section 3.4: Piecewise functions
Graphing cube root function
Constant function, identity function, square function, cube function, cube root function, reciprocal function, absolute value function, greatest integer function, least integer function
Analyzing a piecewisedefined function
Application to cost of electricity
Section 3.5: Transformations
Vertical shift up
Vertical shift down
Horizontal shift right
Horizontal shift left
Combining vertical and horizontal shifts
Vertical stretch
Vertical compression
Graphing using stretches and compressions
Reflection about xaxis
Reflection about yaxis
Determining function obtained after series of transformations
Combining graphing procedures
Combining graphing procedures
Section 3.6: Mathematical models
Finding distance from origin to point on grpah
Area of rectangle
Making playpen
Chapter 3 Objectives
Section 3.1:
 Determine whether a relation represents a function
 Find the value of a function
 Find the domain of a function defined by an equation
 Form the sum, difference, product, and quotient of two functions
Section 3.2:
 IDentify the grpah of a function
 Obtain information from or about the graph of a fucntion
Section 3.3
 Determine even and odd functions from a graph
 Identify even and odd functions from the equation
 Use a graph to determine where a function is increasing or decrasing
 Use graph to locate local min max
 USE grpah to locate abs min miax
 Use graphing utility to locate approx local min max
 Find average rate of change of function
Section 3.4:
 Graph functions listed in library of functions
 Graph piecewise defined functions
 Graph functions using vertical and horizontal shifts
 Graph functions using compressions and stretches
 Graph functions using reflection about xaxis or yaxis
 Build and analyze functions
Flags
Math 102  College Algebra Math 102  College Algebra  Fall 2016  South Seattle College
Chapterbychapter outline: Chapter 1: Equations and Inequalities Math 102/Chapter 1 Chapter 2: Graphs Math 102/Chapter 2 Chapter 3: Functions and their Graphs Math 102/Chapter 3 Chapter 4: Linear and Quadratic Functions Math 102/Chapter 4 Chapter 5: Polynomial and Rational Functions Math 102/Chapter 5 Chapter 6: Exponential/Log Functions Math 102/Chapter 6 Chapter 8: Systems of Equations and Inequalities Math 102/Chapter 8
Puzzles: Puzzles
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