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An odd definition

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The functions y=t , y=sin(t), y=t^3, y=t^5, y=sinh(t) (use sinh(t)=0.5*(e^t-e^(-1*t)) are said to be odd because if they are reflected in the y axis they result in an upside down version of the original graph. This property can be expressed as: y(-t)=-y(t).

To check this graphically, plot the graph of an odd function, y(t), and then enter a new function, replacing t by -1*t in your original function definition, to plot the graph of y(-t).

The second graph should be an upside down version of the original one.

#oddfunctions #symmetry


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plotXpose app is a companion to the book Mathematics for Electrical Engineering and Computing by Mary Attenborough, published by Newnes, 2003.