Precalculus 12: The Complete Video Guide

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Transforming Functions

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Translating Functions Vertically and Horizontally (12:14)
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Reflecting Functions Over the X-Axis and Y-Axis (3:20)
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Sketching the Graph of a Reflected Function (5:52)
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Stretching and Compressing Functions (7:53)
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Sketching the Graph of a Stretched Function (4:00)
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Combining Translations, Reflections, and Stretches (16:27)
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Inverse Relations and Functions (12:24)

Radical Functions

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Properties of Radical Functions (5:03)
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Transforming a Radical Function (4:46)
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Sketching the Graph of the Square Root of a Function (6:02)
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Solving a Radical Equation (1:59)

Polynomial Functions

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Dividing Polynomials by Binomials Using Long Division (15:13)
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Using Synthetic Division (4:46)
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Factoring Polynomials (14:20)
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Properties of Polynomial Functions (16:05)
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Sketching the Graph of a Polynomial Function (9:05)
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Word Problems (10:53)

Rational Functions

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Properties of Rational Functions (2:35)
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Vertical Asymptotes and Points of Discontinuity (7:15)
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Horizontal Asymptotes and Oblique Asymptotes (7:30)
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Sketching the Graph of a Rational Function (7:18)
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Solving a Rational Equation (3:10)

Exponential Functions

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Properties of Exponential Functions (10:28)
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Transforming an Exponential Function (10:54)
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Solving an Exponential Equation (13:22)

Logarithms

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Logarithm Basics (11:46)
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Logarithm Laws (20:45)

Logarithmic Functions

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Properties of Logarithmic Functions (9:32)
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Transforming a Logarithmic Function (9:10)
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Solving a Logarithmic (and Exponential) Equation (14:44)

Trigonometry

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Review from Math 11 (32:53)
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Arc Length and Radians (29:37)
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Trigonometric Ratios (15:46)

Trigonometric Functions

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Properties of Trigonometric Functions (11:59)
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Sketching the Graph of a Trigonometric Function (17:05)

Trigonometric Equations and Identities

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Solving Trigonometric Equations (28:12)
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Trigonometric Identites (21:03)
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Proving Trigonometric Identities (24:52)
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Solving Trigonometric Equations Using Identities (12:53)

Function Operations

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Properties of Combined Functions (5:20)
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Combining Functions Graphically (6:01)

Composite Functions

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Properties of Composite Functions (4:05)
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Finding the Equation of a Composite Function (10:19)
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Finding the Value of a Composite Function (3:31)
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Finding the Composition of a Function (8:52)

Counting Principles

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The Fundamental Counting Principle (22:36)
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Factorial Notation (3:54)
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Permutations (26:34)
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Combinations (28:13)
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The Binomial Theorem (19:07)
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Finding a Specific Term of an Expansion (6:53)

Precalculus 12: The Complete Video Guide

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