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College Algebra Exam 3 Practice: Polynomial, Rational, Exponential, and Logarithmic Functions

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Understanding Polynomial Functions

  • Introduction to Polynomial Functions
    06:04
  • Maximum Turning Points of a Polynomial Function
    02:44
  • Finding Zeros & Their Multiplicity
    03:42

Graphing Polynomial Functions

  • Example 1
    09:43
  • Identifying Intervals of Unknown Behavior
    05:01
  • Graphing Polynomial Functions
    05:25

Introduction to Rational Functions

  • Intro to Rational Functions
    6:04

Asymptotes

  • Introduction to Asymptotes
    6:24
  • Determining Horizontal Asymptotes
    4:48
  • Determining Removable Discontinuities (Holes)
    3:34

Graphing Rational Functions

  • Graphing Rational Functions Using Transformations
    5:31
  • Example 1
    3:08
  • Example 1
    10:18

Rational Equations

  • Introduction to Rational Equations
    05:56
  • Restrictions on Rational Equations
    05:21

Complex Numbers

  • Dividing Complex Numbers
    04:22
  • Introduction to Complex Numbers
    03:31
  • Adding and Subtracting Complex Numbers
    03:18

Function Composition

  • Evaluating Composed Functions
    4:26
  • Decomposition of Functions Example 1
    1:46
  • Domain Restrictions of Composed Functions
    3:51

Intro to Functions & Their Graphs

  • Finding the Domain of an Equation
    3:43
  • Relations & Functions Example 1
    1:30
  • Relations and Functions
    5:20

Exponents

  • Simplifying Exponential Expressions
    6:39
  • Introduction to Exponent Rules
    7:39
  • Zero and Negative Rules
    6:37

Introduction to Exponential Functions

  • Exponential Functions
    6:13

Graphing Exponential Functions

  • Transformations of Exponential Graphs Example 1
    4:12
  • Graphing Exponential Functions Example 1
    3:58
  • Transformations of Exponential Graphs
    6:16

Introduction to Logarithms

  • Evaluate Logarithms
    5:14
  • Logarithms Introduction
    7:30
  • The Natural Log
    2:51

Graphing Logarithmic Functions

  • Graphing Logarithmic Functions
    4:30
  • Transformations of Logarithmic Graphs
    4:37
  • Graphs of Logarithmic Functions
    5:26

Properties of Logarithms

  • Change of Base Property
    5:36
  • Product, Quotient, and Power Rules of Logs
    3:49
  • Expand & Condense Log Expressions
    4:22

Solving Exponential and Logarithmic Equations

  • Solving Exponential Equations Using Logs
    5:47
  • Solving Exponential Equations Using Like Bases
    4:46
  • Solving Logarithmic  Equations
    5:02