graphing a line 55 videos
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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 -
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 x-intercept.
polynomial functions leading term end behavior x intercepts -
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 -
The Reciprocal Transformation
Precalculus Polynomial and Rational Functions
How to graph the reciprocal of a linear function.
the reciprocal transformation x intercepts asymptotes -
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 -
Find an Equation for the Sine or Cosine Wave
Precalculus Trigonometric Functions
How to identify the graph of a stretched cosine curve.
sine cosine period amplitude intercepts turning points -
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
