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Activity 1: Modelling a water squirt

Your browser does not support Java, so nothing is displayed. Your browser does not support Java, so nothing is displayed.

The photograph shows water squirting from a drinking fountain. Your task isto use your knowledge of graphs to find a function y f(x) that modelsthe curve formed by the squirting water.

If you click on the photograph, the coordinates of the point are shown attop-right. You can fine-tune the selected point by clicking on the black arrows- each click moves the cross hairs one pixel in the chosen direction.

To specify the function, enter in the form below:
=BB the domain ofthe function by giving the smallest and the largest value of x, and
=BB theformula of the function (enter only the defining expression, e.g.3*x^3 - 2.6*x + 12 and make sure you use the * and ^ syntax).
Then click the"Check your solution" button. A new window will open, showing your graphon top of the photograph ...

Domain minimum
Domain maximum
The function f(x)

Reflect on your solution strategies ...
What are the importantmathematical ideas that you have used?

Click here for a brief discussion.

Souce: Adapted from The Lite Applet Collection in Journal of Online Mathematics and its Applications




For information about this page, contact: Kaye Stacey
Contact Email Address: k.marston@unimelb.edu.au
Department Homepage: www.edfac.unimelb.edu.au/DSME/
Faculty Homepage: www.edfac.unimelb.edu.au/
Last modified: Fri 11 December 2020

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