non linear functions 202 videos

The Tangent Function
Precalculus Trigonometric Functions
How to define the tangent function for all angles.
tangent right triangle trigonometry the unit circle 
Limits of Rational Functions
Precalculus Polynomial and Rational Functions
How to evaluate the limit of k/x^n as x goes to infinity (or negative infinity).
rational functions limits infinity 
Graphing Rational Functions, n=m
Precalculus Polynomial and Rational Functions
How to recognize when a rational function has a horizontal asymptote, and how to find its equation.
rational functions polynomials degree horizontal asymptote 
Graphing Rational Functions, n less than m
Precalculus Polynomial and Rational Functions
How to recognize when y = 0 is the horizontal asymptote of a rational function.
rational functions polynomials degree horizontal asymptote 
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula 
Solving a System of Linear Equations in Two Variables
Algebra 2 Systems of Linear Equations
How to solve a system of linear equations in two variables.
solving a system in two variables substitution elimination intersection parallel same line 
Solving a Linear System in Three Variables with a Solution
Algebra 2 Systems of Linear Equations
How to solve a system of linear equations in three variables.
solving a system in three variables elimination substitution 
The Reciprocal Transformation
Precalculus Polynomial and Rational Functions
How to graph the reciprocal of a linear function.
the reciprocal transformation x intercepts asymptotes 
The Chain Rule
Calculus Techniques of Differentiation
How to differentiate a composite function.
composite function composition inside function outside function differentiation 
Chain Rule: The General Power Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is a power function.
chain rule composite functions power functions power rule differentiation 
Chain Rule: The General Exponential Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
chain rule composite functions composition exponential functions 
Proving Two Functions are Inverses
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to use algebra to show that two functions are inverses.
proving inverses composition 
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication 
Solving a Linear System in Three Variables with no or Infinite Solutions
Algebra 2 Systems of Linear Equations
How to solve a system of linear equations in three variables that yields no, or many solutions.
solving a system in three variables elimination substitution 
Tricky Substitutions Involving Radicals
Calculus Antiderivatives and Differential Equations
How to antidifferentiate functions with radicals.
substitution antidifferentiation radical functions 
Linear Inequalities
Algebra Solving and Graphing Inequalities
How to notate solving and graphing inequalities.
inequality notation 
Evaluating Limits Algebraically, Part 1
Calculus Limits and Continuity
How to evaluate the limit of a function using continuity.
limits definition of continuous function domain of a function rational functions 
Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
derivative formula limits derivative the number e numerical approximation of the derivative natural logarithm