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Precalculus Notes

A semester worth of notes and detailed problems can all be accessed here!

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30 artículos

Quadratic Formula

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The formula for un-factorable equations and a clear and concise example are given.

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Graphing y = sec(x)

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How to graph and analyze the secant function.

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Understanding Exponets & Radicals

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How to read complex exponets and radicals as well as simplify them to get an answer are shown here.

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Graphing Polynomials

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The beginning steps of graphing polynomials as simply as possible are shown here.

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Graphing Polynomials pt. 2

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How to graph polynomials easily are shown here.

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Distance, Slope, & Lines

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The distance, slope, and line formulas are given as well as a slew of clear examples for each.

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Rational Functions

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How to graph common rational functions are shown here.

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Conversions & Pythagorean Identities

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How to go from degrees to radians and vice versa are shown here as well as the 3 most common pythagorean identities.

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Inverse Functions

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How to analyze a function and find its inverse are shown here.

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Periodic Functions

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How to graph and analyze sin and cos functions easily are shown here.

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Absolute Value Functions & the Properties of Powers

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How to graph an absolute value function is shown here as well as how exponets affect functions.

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Vertical & Horizontal Shifts

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How to graph vertical and horizontal shifts on common functions are shown here.

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Properties of Logarithms & Exponential Growth

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The most common properties of logarithms are explained as well as an in-depth example of exponential growth.

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Exponential & Log Functions

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How to graph these functions easily and analyze them quickly are shown here.

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Basics of Functions

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How to graph the basic functions of precalculus and analyze them are shown here.

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Function Composition

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How to compose functions from small complex functions are shown here.

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Root & Rational Functions

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How to graph and analyze common root and rational functions in precalculus are shown here.

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Exponential Decay

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How to work out an exponential decay problem easily are shown here.

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Interval Notation & Domain of a Function

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How to write and find the domain of a function are shown here.

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Basic Functions

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How to graph and analyze common precalculus functions are shown here.

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Exponential Functions

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How to graph common exponential functions in precalculus are shown here.

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Factoring by Grouping

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How to factor large functions by grouping easily is shown here.

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Undoing a Functions Compositions & Piecewise Examples

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How to undo complex functions to find individual sections and graph and analyze piecewise functions are shown here.

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Basics of Trigonometry

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Greek letters commonly used within the course and how to find cos, sin, and tan functions on a triangle along with their inverse are shown here.

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Finding the Equation of Parallel & Perpendicular Lines

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How to use certain aspects of a word problem to find the function of parallel and perpendicular lines are shown here.

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Stretch's & Compressions

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How to stretch and compress common precalculus function are shown here.

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Factoring Polynomials

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How to easily factor common polynomials are shown here.

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Inverse Trig Functions

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How to find the inverse of a function and the inverse of other aspects of any particular function are shown here.

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Graphing y = tan(x)

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How to graph a tangent function and analyze it are shown here.

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The Unit Circle

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A description of the unit circle in degrees and radians are shown here.

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