rational expression 16 videos
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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 -
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 -
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 -
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 -
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 -
Finding the Domain of a Function
Precalculus Introduction to Functions
How to find the domain of a function when it has rational or radical expressions.
functions domain parent functions inequalities interval notation -
Evaluating a Logarithmic Expression in terms of Known Quantities
Precalculus Exponential and Logarithmic Functions
How to break up a logarithm of a large number.
product rule of logs quotient rule of logs expand -
Trigonometric Form of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to express a complex number in trigonometric form.
complex numbers the complex plane modulus argument sine cosine tangent rectangular form trigonometric form -
Binomial Theorem
Precalculus Topics in Discrete Math
How to define factorial expressions used in the binomial theorem.
square root -
Using Trigonometric Identities
Precalculus Trigonometric Functions
How to simplify a trigonometric expression by converting to sines and cosines and using algebra.
reciprocal identities -
Using the Inverse Trigonometric Functions
Precalculus Advanced Trigonometry
How to evaluate expressions like tan(sin (4/5))^(-1).
sine cosine tangent inverse sine inverse cosine inverse tangent the unit circle -
Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
unit vectors length magnitude the unit vectors i and j vector addition scalar multiplication component form -
Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length -
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