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College Algebra: Polynomial, Rational, Exponential, Logarithmic Functions, Systems, and Sequences

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Intro to Functions & Their Graphs

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

Understanding Polynomial Functions

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

Dividing Polynomials

    Zeros of Polynomial Functions

      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

      Graphing Rational Functions

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

      Introduction to Exponential Functions

      • Exponential Functions
        6:13

      Introduction to Logarithms

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

      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

      Two Variable Systems of Linear Equations

      • Example 1
        3:09
      • Solving Systems of Equations - Elimination
        6:48
      • Example 2
        3:31

      Sequences

      • Example 2
        4:19
      • Example 1
        5:52
      • Introduction to Sequences
        8:22

      Arithmetic Sequences

      • Example 2
        7:00
      • Example 1
        2:35
      • Arithmetic Sequences - Recursive Formula
        6:40

      Geometric Sequences

      • Geometric Sequences - General Formula
        4:45
      • Geometric Sequences - Recursive Formula
        4:18