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Evenly defined

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The functions y=cos(t), y=t^2, y=t^4, y=cosh(t) (use
cosh(t)=0.5*(e^t+e^(-1*t)) are said to be even because,
if they are reflected in the y-axis, they result in the same graph.

This property can be expressed as: y(t)=y(-t).

To check this graphically, plot the graph of an even 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 two graphs should be the same.

#evenfunctions #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.