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Maple worksheets on functions |
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Precalculus topics:
The following Maple worksheets can be downloaded.
They are all compatible with Classic Worksheet Maple 10.
Graphs of functions - graphs.mws
- Graphs of common functions.
- Translating graphs
- A procedure for graphing a quadratic function: plotquadratic.
- Powers of x
Sets of numbers and the domain and range of a function - domrng.mws
- Sets and set operations.
- Sets and set operations with Maple.
- Rational, irrational and real numbers.
- Interval notation.
- The domain and range of a function.
Cubic curves - cubic.mws
- Curves of the form y = a*x^3.
- Translations of y = a*x^3.
- The curve y = x^3- x obtained by a sheering transformation.
- Curves of the form y = x^3 + a*x.
- Curves of the form y = x^3 + a*x + b.
Cubic curves II - cubic2.mws
- The solution of the cubic equation x^3 + a*x + b = 0 (3 real roots).
- The case of "equal roots".
- The turning points on y = x^3 + a*x.
- The local maximum point as a limit.
- The solution of the cubic equation x^3 + a*x + b = 0 (1 real root).
- Cubic curves of the form x^3 + p*x^2 + q*x + r.
Composition of functions - composition.mws
- Composition of functions in Maple.
- More examples
- Repeated composition and the logistic function.
Piecewise functions etc. - piecewise.mws
- Functions defined in pieces using piecewise.
- Functions defined in pieces using proc.
- Even and odd functions.
- The integer and fractional parts of a number.
Inverse functions - invfcns.mws
- One-to-one functions.
- The inverse of a one-to-one function.
- Finding inverse functions.
- Graphs of inverse functions.
Self-inverse functions - selfinv.mws
- The composition of two one-to-one functions and its inverse.
- What is a self-inverse function?
- A way to construct examples of self-inverse functions.
