||Each team will have from 4 to 6 members
with at least one student from each of grades 11, 12 and OAC. The
remaining team members may be from any grade level.
Each team will be seated at a table, and given an envelope with
15 pages inside. On each page will be an accurate graph of a mathematical
function; and, where necessary, a table of values for the unknown
function. The functions will be in one of six categories: linear,
quadratic, polynomial, rational, trigonometric, exponential and
logarithmic. In some cases, the category will be given to you. The
object of the competition is to identify the equations of the functions
within the time limit of 30 minutes.
The team can divide up the work as they see fit and discuss, cross-check,
argue and so on as they come to their collective conclusions about
the unknown functions.
for the Event
A computer program called Identify for PC's running under
DOS is available for download. It will allow you to practise your
skills in identifying functions from each of the six categories.
This program presents the unknown function either as a graph or
as a set of numerical values. You can also ask for the values of
any point on the graph or trace the curve and get a running tabulation
of points on the curve. This information then allows you to establish
the equation. You can input the equation when ready and the computer
will tell you if it is correct or not. The authors of the program
have placed it in the public domain, so that you may make as many
copies as you need.
Number of Functions in the Program:
Linear & Quadratic 60
Exponentials and Logarithmic 24
A set of bonus questions will be taken directly from some of the
more challenging functions in the program.