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Solving Rational Inequalities
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Classroom Contents
PreCalculus
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- 1 Tangent Sum and Difference Formulas How to Use
- 2 Solving Polynomial Inequalities Algebraically Using Number Line
- 3 Given One Imaginary Zero Find All the Zeros of the Function
- 4 Find Remaining Factors When Given 1 Factor (Synthetic Division)
- 5 What Ticket Price Maximizes Revenue? (Quadratic Word Problem Precalculus)
- 6 Find the Inverse of a Function with Domain Restrictions
- 7 Find the Inverse of a Function Algebraically
- 8 Algebraic Tests to Check Symmetry With Respect to X-Axis, Y-Axis, and Origin
- 9 Writing a Sinusoidal Equation Given Max and Min (Example 1)
- 10 How to Find Slant Asymptote of a Rational Function
- 11 Law of Sines (SSA) Ambiguous Case 2 Triangles Possible
- 12 Determine Which Quadrant(s) Where Point (x,y) is Located Given Restrictions
- 13 Find Reference Angle in Radians and Degrees (Formulas)
- 14 Law of Sines AAS, ASA, SSA Ambiguous Case
- 15 Is a Function Even, Odd, or Neither?
- 16 Graphing Logarithmic Functions with Transformations
- 17 Graphing Polynomial Functions Using End Behavior, Zeros, and Multiplicities
- 18 Testing for Symmetry Versus Even or Odd (PreCalculus)
- 19 Writing Trig Functions as Algebraic Expressions
- 20 Find the Domain of a Function (Precalculus) Given Equation (4 Examples)
- 21 Find the Average Rate of Change of the Function from x1 to x2 (Precalculus)
- 22 Write a Quadratic Equation in Standard Form by Completing the Square (3 Examples)
- 23 Find the Equation of a Circle Given Endpoints of Diameter
- 24 Writing a Sinusoidal Equation Given Max and Min (Example 2)
- 25 Parabola Equation Using Distance Formula
- 26 Cramer's Rule Solving a System of Linear Equations 2x2
- 27 Draw an Angle in Radians (Standard Position)
- 28 Linear Programming (Optimization) 2 Examples Minimize & Maximize
- 29 Solving Exponential Equations
- 30 Write Recursive Formulas for Sequences (2 Methods)
- 31 Completing the Square to Solve a Quadratic Equation (3 Examples)
- 32 Graphing Rational Functions Step-by-Step (Complete Guide 3 Examples)
- 33 Solve an Exponential Equation by Getting Bases to be Equal
- 34 Find Horizontal Asymptote of a Rational Function
- 35 Difference Quotient - How to Simplify (3 Types)
- 36 Sequences and Series Introduction
- 37 Solving Trigonometric Equations - How to Write General Solution
- 38 Law of Sines and Law of Cosines (4 Examples)
- 39 Evaluating Inverse Trigonometric Functions (arcsin, arccos, arctan) Using Unit Circle
- 40 Verifying Trigonometric Identities Easily - Strategy Explained (14 Examples)
- 41 Graphing Piecewise Functions - 2 Methods
- 42 Graphing Sine and Cosine Functions with Transformations (Multiple Examples)
- 43 Solving Exponential and Logarithmic Equations (Multiple Examples)
- 44 Partial Fraction Decomposition All Types (Quick Review)
- 45 Radians Intro (What are they? Converting Units, Draw Standard Position)
- 46 Evaluating Limits Given a Graph
- 47 Graphing Sine, Cosine, Cosecant, Secant, Tangent & Cotangent (Complete Guide)
- 48 Factoring Polynomials Completely - All Types (100 Problems & Free Worksheet)
- 49 Sketching Rational Functions Step by Step (6 Examples!)
- 50 Equation of Parabola Given 3 Points (System of Equations)
- 51 Approximating Limits Using a Table with Ti84 Calculator
- 52 Solving a System 3 Equations (General Solution)
- 53 Elimination 3 Variables (Multiple Examples)
- 54 Elimination 3 Variables 3 Equations
- 55 Solving Trigonometric Equations Multiple Angles
- 56 Sequences and Series (Arithmetic & Geometric) Quick Review
- 57 Composition of Functions (Examples)
- 58 Plotting Points in 3 Dimensions
- 59 PreCalculus Final Exam Review 2nd Quarter
- 60 PreCalculus Final Exam Review First Quarter
- 61 Transformations of Parent Graphs (Advanced)
- 62 Verifying Functions are Inverses
- 63 Probability Defective Units Example
- 64 Vertex Form for Quadratic Functions (by Completing the Square)
- 65 Double Intercept Equation of a Line
- 66 Absolute Value Function (How to Graph)
- 67 Is y a Function of x?
- 68 Equation of Sphere in Standard Form
- 69 Parametric Equations Sketching a Curve (3 Examples)
- 70 Descartes Rule of Signs to Determine Number of Positive & Negative Zeros
- 71 Distance and Midpoint Formula in 3 Dimensions
- 72 Distinguishable Permutations of Letters in a Word
- 73 Arithmetic Sequence (Explicit Formula)
- 74 Geometric Sequence (Explicit Formula)
- 75 Fundamental Counting Principle
- 76 Permutations Combinations Factorials & Probability
- 77 Factorial Expressions (Simplifying)
- 78 Binomial Expansion Find a Specific Term
- 79 Binomial Expansion Finding Coefficient
- 80 Graphing Sine and Cosine Functions (More Challenging Examples)
- 81 Greatest Integer Function How to Graph
- 82 End Behavior of Polynomial Functions Using Leading Coefficient Test
- 83 Converting Polar Equations to Rectangular Equations
- 84 Converting Rectangular Equations to Polar Equations
- 85 Parent Function Graphs Transformations (Shift, Stretch, Reflect)
- 86 How to Graph Tan (Tangent) - More Challenging
- 87 Condensing Logarithms into a Single Log (More Challenging Examples)
- 88 Expanding Logarithmic Expressions (More Challenging Examples)
- 89 Sine or Cosine Writing Equations Given Graph
- 90 Convert from Rectangular to Polar Coordinates
- 91 Convert from Polar to Rectangular Coordinates
- 92 Polar Coordinates How to Graph Points
- 93 Write Equation of a Parabola Given Vertex and Directrix
- 94 Equation of Parabola Given Focus and Directrix
- 95 Equation of Ellipse Given Vertices and Foci
- 96 Ellipse Equation Given Eccentricity and Foci
- 97 Ellipse Equation Given Vertices and Eccentricity
- 98 Hyperbola Equation Given Asymptotes and Vertices
- 99 Determine if an Equation is a Hyperbola, Ellipse, Parabola or Circle
- 100 Piecewise Functions - How to Evaluate
- 101 Row Reduced Echelon Form
- 102 Partial Fraction Decomposition All Types
- 103 Gaussian Elimination with Back Substitution
- 104 Finding Relative Maximums and Minimums Using Difference Quotient
- 105 Recursive Formulas How to Write
- 106 Logs Everything You Need to Know
- 107 What is a derivative?
- 108 Writing Logarithms in Exponential Form
- 109 Arithmetic Sequence Formula Given 2 Terms Easy Method
- 110 Bearing Math Problems
- 111 Time to Triple Compounding Continuously
- 112 Time to Double Compounding Continuously
- 113 Find Inverse and State Domain Restriction
- 114 How to Graph Arctan (tangent inverse)
- 115 How to Graph Arccos (cosine inverse)
- 116 How to Graph Arcsin (sine inverse)
- 117 Understanding Even Odd Identities
- 118 Cofunction Identities (Trigonometry) - Understanding Them
- 119 Graphing Exponential Functions with Base e
- 120 Converting from Minutes and Seconds to Degrees
- 121 Solving Radical Equations (More Challenging)
- 122 Solving Radical Equations
- 123 Convert from Degrees to Degrees, Minutes, Seconds
- 124 Deriving the Quadratic Formula by Completing the Square
- 125 Exponential Growth Model Example
- 126 Writing a Polynomial Given Zeros
- 127 Determining if a Function is a Polynomial
- 128 One-to-One Property to Solve Logarithmic Equations
- 129 Rewriting Logs in Exponential Form
- 130 One to One Property for Exponential Equations
- 131 Completing the Square to Solve Quadratic Equations
- 132 Finding Zeros of Rational Functions
- 133 Half Life Formula & Example
- 134 Domain of Logarithmic Functions
- 135 Find Two Positive Real Numbers Whose Product is a Maximum (PreCalculus)
- 136 Describing End Behavior Using Limit Notation
- 137 Finding Horizontal and Vertical Asymptotes Graphing Rational Functions
- 138 Holes, Removable Discontinuities, Graphing Rational Functions
- 139 Completing the Square Leading Coefficient (More Challenging Examples)
- 140 Sum of 2 Squares Factoring
- 141 Find the Equation of a Quadratic (Parabola) Given 3 Points
- 142 Inverse Variation or Direct Variation? (Given a Table)
- 143 Powers of i (Simplifying)
- 144 Solving Quadratic Inequalities Using Sign Analysis
- 145 Volume of Open Box Made From Rectangle with Squares Cut Out
- 146 Decomposing Functions Using Composition of Functions
- 147 Interval notation for where functions Increase, Decrease, Constant
- 148 Shifting, Stretching and Reflecting Parent Function Graphs
- 149 Graphing Step Functions
- 150 Piecewise Functions Graphing
- 151 Interval Notation (What is It?)
- 152 Absolute Value Inequality Special Cases
- 153 Finding a Sinusoidal Equation Given a Maximum and Minimum
- 154 Half Angle Formula Positive or Negative?
- 155 Verifying Trigonometric Identities (Examples)
- 156 What are Imaginary Numbers?
- 157 How to Graph Tangent (Simplified)
- 158 Ellipses Vs. Hyperbolas Similarities and Differences
- 159 Matrices Quick Tip for Rotating and Reflecting
- 160 Which Way Does the Hyperbola Open?
- 161 Finding Equation of Parabola Given Vertex and Directrix
- 162 Finding Equation of Parabola Given Focus and Vertex
- 163 Finding Tangent Line to a Parabola Using Distance Formula
- 164 Finding Distance from Point to Line (Formula)
- 165 Finding Angle Between 2 Lines (Formula)
- 166 Finding Angle of Inclination of a Line
- 167 Heron's Area Formula for Triangles
- 168 Master the Unit Circle!
- 169 Equation of Hyperbola Given Asymptotes and Foci
- 170 TI84 TI83 Pascal's Triangle Binomial Expansion
- 171 Area under a Curve - PreCalculus
- 172 Parametric Equations - How to Eliminate the Parameter
- 173 Bouncing Ball Distance Traveled Example
- 174 Writing Summations in Sigma Notation
- 175 More Difference Quotient Examples
- 176 Derivative at a Point Using Difference Quotient
- 177 Area of a Region using Limits
- 178 Limits at Infinity
- 179 Tangent Line Using Difference Quotient
- 180 Finding Limits Precalculus Methods
- 181 Expanding and Condensing Logs (Challenging)
- 182 Solving (Challenging) Log Equations Different Bases
- 183 TI84 TI83 Calculating Standard Deviation
- 184 Using Matrices to Solve Systems of Equations on Ti84 Calculator
- 185 Cramer's Rule Matrices
- 186 Inverse Matrices Solving Systems of Equations
- 187 Inverse of a 2x2 Matrix
- 188 Area of a Triangle Using Determinant
- 189 Determinant of a Matrix - How to Find (2x2 & 3x3)
- 190 How to do Matrix Multiplication
- 191 Matrices - Dimensions, Add, Subtract Scalar Multiplication
- 192 Mathematical Induction Examples
- 193 Probability Examples with Cards
- 194 Writing Conic Sections in Standard Form
- 195 Binomial Probability
- 196 How to Use Permutations and Combinations
- 197 Hyperbolas - How to Graph
- 198 How to Graph Ellipses and Write the Equation
- 199 How to Graph Parabolas and Write the Equation
- 200 Binomial Expansion Theorem
- 201 Sum of Infinite Geometric Series
- 202 Sum of a Geometric Series
- 203 Geometric Sequence Formula
- 204 Sum of an Arithmetic Series Formula
- 205 Arithmetic Sequence - Write Equation (Formula)
- 206 Partial Fractions Repeated Quadratic Factors
- 207 Partial Fractions Quadratic Factors
- 208 Partial Fractions Repeated Linear Factors
- 209 Partial Fractions with Improper Fractions
- 210 TI-84 TI-83 Finding Log Values
- 211 Finding Relative Maximum and Relative Minimum Ti84 Ti83
- 212 Zeros How to Find Ti84 Ti83
- 213 Solving Systems of 3 Equations Elimination
- 214 Solving Systems of Equations Elimination Method
- 215 Substitution Method for Solving Systems of Equations
- 216 Solve Systems of Linear Equations by Graphing
- 217 Factoring by Grouping (4 terms)
- 218 Factoring Quadratic Form Trinomials
- 219 How to factor the Sum of 2 Cubes
- 220 Finding nth Roots of a Complex Number
- 221 Complex Number to a Power Using DeMoiver's Theorem
- 222 Multiply and Divide Complex Numbers in Trigonometric Form (Formulas)
- 223 Trigonometric Form of a Complex Number
- 224 Compounding Continuously Pert Formula
- 225 Compound Interest Formula
- 226 Absolute Value of a Complex Number
- 227 Angle Between 2 Vectors (Formula)
- 228 Dot Product to Multiply Vectors
- 229 Inverse Trigonometric Functions Using Unit Circle to Find Angles Between 0 and 2 pi
- 230 Half Angle Formulas - How to Use
- 231 How to Use Double Angle Formulas
- 232 Solving Rational Inequalities
- 233 Rational Functions Graphing
- 234 Intermediate Value Theorem
- 235 Leading Coefficient Test
- 236 Descartes Rule of Signs
- 237 Rational Root Theorem
- 238 Zeros - How to Find Using Factoring
- 239 Complex Numbers Add, Subtract, Multiply, Divide
- 240 How to Use the Remainder Theorem
- 241 How to do Synthetic Division
- 242 Sum and Difference Formulas
- 243 Parabolas in General Form - How to Graph
- 244 Graphing Parabolas in Intercept Form
- 245 Graphing Parabolas in Vertex Form
- 246 Adding and Subtracting Vectors
- 247 Unit Vectors - How to find
- 248 Vectors Finding the Direction
- 249 Magnitude of a Vector
- 250 Vectors Component Form
- 251 How to Find the Inverse of a Function
- 252 Composition of Functions - How to
- 253 Difference Quotient - What is it? (PreCalculus)
- 254 Law of Cosines
- 255 Parent Functions Transformations
- 256 Polynmomial Long Division
- 257 Domain of a Function (Given Equation or Graph) How to Find
- 258 Circle Equation in Standard Form (How to Graph)
- 259 How to Test for Symmetry
- 260 Is a Function Even or Odd?
- 261 Vertical Line Test
- 262 What is the Horizontal Line Test?
- 263 Solving Trig Equations
- 264 Unit Circle Finding Trig Values
- 265 Reference Angles
- 266 Coterminal Angles
- 267 Simplifying Trigonometric Expressions (Using Identities)
- 268 Arc Length (Formula)
- 269 Area of a Sector How to Find (Formula Radians)
- 270 Converting Degrees to Radians
- 271 Finding Complement and Supplement of an Angle (Radians & Degrees)
- 272 Exponential Functions (How to Graph)
- 273 Logarithmic Equations - How to Solve
- 274 Expanding and Condensing Logs
- 275 Logarithms (Logs) How to Graph
- 276 Logarithms Change of Base Formula
- 277 Evaluating Logarithms
- 278 How to Graph Secant and Cosecant
- 279 Graphing Tan and Cot
- 280 Graphing Sin and Cos
- 281 Linear Speed and Angular Speed
- 282 Law of Sines (Trigonometry)
