rational functions 179 videos

Limits: A Graphical Approach
Calculus Limits and Continuity
How to determine onesided and twosided limits from the graph of a function.
one sided limits two sided limits limit does not exist piecewise functions left hand limit right hand limit graph graphical approach 
Solving Exponential Equations with the Different Bases
Algebra 2 Inverse, Exponential and Logarithmic Functions
Solving an exponential equation by taking the log of both sides.
exponential function log of both sides 
Solving Exponential Equations with the Different Bases
Precalculus Exponential and Logarithmic Functions
Solving an exponential equation by taking the log of both sides.
exponential function log of both sides 
The Quotient Rule
Calculus Techniques of Differentiation
How to differentiate a quotient of two functions.
differentiation quotient rule product rule derivatives 
Nucleic Acids
Biology Chemical Basis of Life
The description and mechanistic functions of nucleic acids.
DNA RNA nucleotide ATP double helix 
Chemistry Mole
Chemistry Chemical Reactions
The meaning and functionality of Avogadro's number in chemistry.
chemistry mole Avogadro's number 
Nucleic Acids
Chemistry Biochemistry
The description and mechanistic functions of nucleic acids.
DNA RNA nucleotide ATP double helix 
Finding an Inverse Algebraically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to find the inverse of a function algebraically
finding an inverse one to one switch x and y 
The Reciprocal Transformation
Precalculus Polynomial and Rational Functions
How to graph the reciprocal of a linear function.
the reciprocal transformation x intercepts asymptotes 
The First Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to use an algebraic approach to find onesided limits of a rational function, and how these limits can be used to find a vertical asymptote.

Multiplying Radicals of Different Roots
Algebra 2 Roots and Radicals
How to multiply radicals together when they are different roots.
multiplying roots different index different roots rational exponents 
Introduction to Real Numbers
Algebra 2 Real Numbers
How to classify different types of real numbers.
real numbers natural counting whole integer rational irrational 
Graphing the Transformation y = f(x  h)
Precalculus Introduction to Functions
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
functions transformations horizontal shift end point 
Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
limits functions table of values numerical approach undefined 
Number of Handshakes at a Party
Geometry Reasoning, Diagonals, Angles and Parallel Lines
How to determine the number of handshakes possible in a group of a certain number of people.
mathematical modeling non linear functions diagonals 
Finding Maximum and Minimum Values
Precalculus Polynomial and Rational Functions
How we define optimization problems, and what it means to solve them.
optimization problems quadratic functions parabola vertex 
The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
average rate of change slope secant line instantaneous rate of change tangent line limits derivative difference quotient 
Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.