Question

Which 3 functions have symmetry about the origin?

Answer 1

y = x, y = x^3, y = x^5

Explanation:

For it to be symmetrical over the origin, you need to replace x with -x and y with -y AND make sure it equals to the original function. So for example, take y = x^5. Replace the x and y with -c and -y respectively:

-y = -x^5

Both are still negative so if you divide by -1, it is just the original function so it is symmetrical over origin.

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