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  3. if a function f(x) is odd about a point, say (a,0)

If a function f(x) is odd about a point, say (a,0), on the x-axis what exactly...

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Advance Math

If a function f(x) is odd about a point, say (a,0), on thex-axis what exactly does this mean? How would you relate f(x valuesto left of a) to f(x values to right of a)?

Similarly, if a function f(x) is even about a point, say (a,0),on the x-axis what exactly does this mean? How would you relate f(xvalues to left of a) to f(x values to right of a)?

I understand what is meant by odd and even functions about theorigin, I just want to make sure I understand how a function can beodd or even about a point on the x axis. Can you also have odd andeven functions about points on the y-axis? How would you expressthese?

Answer & Explanation Solved by verified expert
4.4 Ratings (827 Votes)
If a function is odd then it is symmetrical about origin 00 and if it is even then it is symmetrical about the yaxis ie the line x0 Similarly if function fx is odd about a point a0 then it    See Answer
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