Activity 1: Modelling a water squirt
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 ...
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
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