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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