Research functions at parity or odd parity is one of the steps of the General algorithm of research of function needed to construct the graph of a function and study its properties. In this step, you define whether the function is even or odd. If the function is not to say that it is even or odd, then we say that is a function of the General form.

Record function in the form of the dependence y=y(x). For example, y=x+5.

2

Substitute the argument x the argument (-x) and see what happened in the end. Compare with the original function y(x). If y(-x)=y(x) are even function. If y(-x)=-y(x) are odd function. If y(-x) is not equal to y(x) and not equal to -y(x), have the function of the General form.

3

Write the output to this step of the research function. Possible output:y(x) is an even function,y(x) is an odd function,y(x) is a function of the General form.

4

Proceed to the next step of the study of a function using the standard algorithm.

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See also

How to determine periodicity of functions

How to determine the range of values

How to define a function according to the schedule