rational functions 53 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 -
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 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 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 -
Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to graph logarithmic functions.
logarithmic functions exponential functions graphs of logarithmic functions definition of a logarithm -
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 -
Power Functions
Precalculus Polynomial and Rational Functions
How we define power functions, and which of our parent functions belong to this family.
power functions parent functions -
Exponential Functions
Precalculus Exponential and Logarithmic Functions
How to graph exponential functions.
exponential functions graphs of exponential functions asymptote -
Seven Elementary Functions and Their Graphs
Precalculus Introduction to Functions
How to graph seven elementary functions.
functions parent functions asymptotes -
The Greatest Integer Function
Precalculus Introduction to Functions
How to evaluate the greatest integer function.
the greatest integer function the floor function step functions parent functions -
Exponential Functions and their Graphs
Precalculus Exponential and Logarithmic Functions
How to define an exponential function.
exponential function power function base exponent -
Graphs of the Sine and Cosine Functions
Precalculus Trigonometric Functions
How to define periodic functions.
periodic functions period amplitude -
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 -
Domain Restrictions and Functions Defined Piecewise
Precalculus Introduction to Functions
How a domain restriction affects the graph of a function.
functions domain domain restrictions quadratic functions linear functions vertex parabola -
Graphing Polynomial Functions
Precalculus Polynomial and Rational Functions
How we identify the end behavior of a polynomial functions.
polynomial functions degree leading term turning points cubic functions quartic functions end behavior -
Function Notation with Logs and Exponentials
Precalculus Exponential and Logarithmic Functions
How to use function notation to solve log equations.
function notation solving log equations -
Integer Power Functions
Precalculus Polynomial and Rational Functions
How we identify odd power functions and even power functions.
odd power functions even power functions domain range end behavior symmetric about origin symmetric about y axis -
Polynomial Functions
Precalculus Polynomial and Rational Functions
How we define polynomial functions, and identify their leading coefficient and degree.
polynomial functions coefficients leading term leading coefficient degree
