Question
Is f(x) = x^-3 even or odd function
Answers
GPT 3.5
The function f(x) = x^-3 is an odd function.
An odd function is a function that satisfies the property f(-x) = -f(x) for all x in its domain.
In this case, if we plug in -x into the function f(x) = x^-3, we get (-x)^-3 = -x^-3.
Now, if we compare this with the original function value, we have -f(x) = -x^-3.
Therefore, f(-x) = -f(x), which means the function f(x) = x^-3 is odd.
An odd function is a function that satisfies the property f(-x) = -f(x) for all x in its domain.
In this case, if we plug in -x into the function f(x) = x^-3, we get (-x)^-3 = -x^-3.
Now, if we compare this with the original function value, we have -f(x) = -x^-3.
Therefore, f(-x) = -f(x), which means the function f(x) = x^-3 is odd.