precalc final project
  • Function Composition And Inverse Functions
    • Function composition and inherited domain and range
    • Function decomposition
    • Parametric functions and how they relate to function composition
    • Inverse functions and inherited domain and range
  • Transformations Of All Functions
    • Graphical transformations by comparing two functions and listing the graphical transformations
    • Graphical transformations by rewriting a function from a list of transformations
    • Graphical transformations by transforming a graph given transformations
    • All graphical transformations by using each type of transformation
  • Power Functions, Their Graphs And Applications
    • Graphs of different power functions
    • Writing a power function from a list of data
    • Applications of power functions through direct or indirect variation
  • Polynomial Functions, Their Graphs And Applications
    • Graphs of polynomial functions by graphing a polynomial that shows comprehension of how multiplicity and end behavior affect the graph
    • Factoring a higher degree polynomial with and without complex zeros
    • Factoring a higher degree polynomial that has a leading coefficient that is not one
    • Solving polynomial equations and inequalities
    • Applications of polynomial functions
  • Rational Functions, Their Graphs, And Applications
    • Graphs of rational functions including all intercepts and asymptotes
    • Algebraic manipulation of rational functions
    • Utilizing rational functions through applications
    • Solving rational functions inequalities
  • Exponential And Logistic Functions, Their Graphs And Applications
    • Writing exponential models
    • Writing logistic models
    • Graphing exponential functions
    • Applying exponential models
    • Applying logistic models
  • Logarithmic Functions Their Graphs And Applications
    • Rewriting exponentials into logarithms and logarithms into exponentials using common log, natural log, and logarithms of other bases
    • Properties of logarithms
    • Graphs of logarithms
    • Applications of logarithms
  • Vectors And Their Applications
    • Different forms of vectors
    • Vector application
    • Finding the angle between two vectors
  • Polar Coordinates And Equations
    • How to graph polar coordinates
    • Converting polar coordinates to rectangular coordinates and rectangular to polar
    • Converting polar equations to rectangular equations and rectangular to polar
    • Graphs of polar equations
  • Conic Sections Their Graphs And Applications
    • How to make conic models that fit given conditions
    • How to graph conic sections from equations
    • The applications of conic sections
    • How to algebraically manipulate conic equations into standard form
    • Parabolas, ellipses and hyperbolas
  • Sequences And Series
    • Geometric and arithmetic sequences
    • Defining sequences explicitly and recursively
    • Summations notation
    • Summing finite arithmetic and geometric sequences
    • Summing infinite geometric sequences
  • Limits
    • How to write asymptotes in limit notation
    • Removable discontinuity
 
precalc final project
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© Copyright 2012, Luis Naranjo.

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