logarithmic graphs 54 videos

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 
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 
Graphing Polynomial Functions with Repeated Factors
Precalculus Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an xintercept.
polynomial functions leading term end behavior x intercepts 
Common and Natural Logarithms
Precalculus Exponential and Logarithmic Functions
How to define natural and common logs.
common log natural log 
Graphing the Transformation y = a f(x) + k
Precalculus Introduction to Functions
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
functions transformations stretch compression reflection vertical shift turning point 
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 
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 
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 
Solving and Graphing Compound Inequalities
Precalculus Linear Equations and Inequalities
How to solve inequalities that use the word "and" or "or."
inequality solve compound 
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>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 
Families of Polar Curves: Circles, Cardiods, and Limacon
Precalculus Polar Coordinates and Complex Numbers
How to graph the special cases of the family r = a + b cos (theta) when a or b = 0.
polar graph polar equation polar curve circles center radius completing the square 
Transformations of a Hyperbola
Precalculus Conic Sections
How to transform the graph of a hyperbola.
transformation hyperbola center 
Exponential Growth and Decay
Precalculus Exponential and Logarithmic Functions
How to find the doubling time of a population when the growth rate is given.
exponential growth exponential functions doubling time logarithmic functions the natural logarithm round off error