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Precalculus Study Guide: Functions, Graphs, and Polynomial Concepts

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Intro to Functions & Their Graphs

  • Guided course
    Finding the Domain and Range of a Graph
    5:10
  • Guided course
    Verifying if Equations are Functions
    5:38
  • Guided course
    Relations and Functions
    5:20

Transformations

  • Guided course
    Reflections of Functions Example 1
    01:09
  • Guided course
    Reflections of Functions
    5:00
  • Guided course
    Graphs of Shifted & Reflected Functions Example 1
    2:49

Function Operations

  • Guided course
    Multiplying & Dividing Functions
    7:24
  • Guided course
    Adding & Subtracting Functions Example 1
    4:46
  • Guided course
    Adding & Subtracting Functions
    5:56

Function Composition

  • Guided course
    Decomposition of Functions
    4:07
  • Guided course
    Function Composition
    4:56
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Complex Numbers

  • Guided course
    Introduction to Complex Numbers
    03:31
  • Guided course
    Dividing Complex Numbers
    04:22
  • Guided course
    Complex Conjugates
    05:33

Intro to Quadratic Equations

  • Guided course
    Introduction to Quadratic Equations
    05:35
  • Guided course
    Solving Quadratic Equations by Factoring
    06:08

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Graphing Polynomial Functions

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