Calculus-Sec-1-2 by SGLee


  

Calculus-Sec-1-2 Symmetry

1. Symmetric about the y-axis: x^2

2.  Symmetric about the origin : y = x^3




1. A graph of even function : y = cos(x)

2. A graph of  odd function : y = sin(x)




 

However, a function may be neither even nor odd. The graph of such a
function is neither symmetric about the -axis, nor about the origin. For
example,            is neither even nor odd (see Figure 4).

A graph of function which is neither even nor odd : y = sin(x)+cos(x)

 




An example of strictly increasing function : y = x^3 




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