Maple worksheets on functions |

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.