graphing a rational expression 52 videos

Graphs with Holes
Precalculus Polynomial and Rational Functions
How to graph a rational function when there is a common factor in the numerator and denominator
rational functions factors holes 
Graphing Rational Functions, n>m
Precalculus Polynomial and Rational Functions
How to find the oblique asymptote of a rational function, if it has one.
rational functions polynomials degree horizontal asymptote 
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 
Introduction to Rational Functions
Precalculus Polynomial and Rational Functions
How to define rational functions, and how to identify their domain and zeros.
rational functions polynomials domain zeros 
Graph of Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to find the graph of a logarithmic equation with a base greater than one.
log graph logarithmic graphs inverse graphically domain range asymptote 
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 Polar Equations
Precalculus Polar Coordinates and Complex Numbers
How to sketch a simple polar curve by plotting points.
polar graph polar equation 
Symmetry of Polar Graphs
Precalculus Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the xaxis.
polar graph polar equation symmetry reflection x axis symmetric about the x axis 
Graphing 2 Variable Inequalities
Precalculus Linear Equations and Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
Seven Elementary Functions and Their Graphs
Precalculus Introduction to Functions
How to graph seven elementary functions.
functions parent functions asymptotes 
Exponential Functions
Precalculus Exponential and Logarithmic Functions
How to graph exponential functions.
exponential functions graphs of exponential functions asymptote 
Transforming the Graphs of Sine and Cosine
Precalculus Trigonometric Functions
How the values of A and B affect the shape of the graph y = A sin(Bx).
sine period amplitude stretch compression reflection 
Graph of the Tangent Function
Precalculus Trigonometric Functions
How to graph y = tan(theta) for 0 <= theta < pi/2.
tangent the unit circle asymptotes 
Transforming the Tangent Graph
Precalculus Trigonometric Functions
How to graph y = tan(q) for one or more periods.
sine cosine tangent opposite angle identities intercepts asymptotes periodicity period 
Transforming the Cotangent Graph
Precalculus Trigonometric Functions
How graph the cotangent function using five key points.
cosine sine cotangent even and odd functions the add pi identities period vertical asymptotes 
Symmetry of Graphs: Odd and Even Functions
Precalculus Introduction to Functions
How to recognize the graph of an even or odd function.
even functions odd functions symmetric with respect to the y axis symmetric with respect to the origin parent functions 
Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to graph logarithmic functions.
logarithmic functions exponential functions graphs of logarithmic functions definition of a logarithm 
Limits at a Glance
Precalculus Polynomial and Rational Functions
How to quickly find the limit of a rational function as x goes to infinity.
rational functions polynomials degree limits infinity 
Graphing the Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
identities the unit circle the cofunction identities the "add Π@" identities