A function f is odd and f(x)=x2 for all x>0. Sketch the graph of this function and then write the rule of this function as a single formula.
f(x)=

Respuesta :

For the function to be an odd function, then f(-x) = -f(x) and the function f(x) is not an odd function

How to determine the function?

The function f(x) is given as:

f(x) = x^2

For the function to be an odd function, then the following must be true:

f(-x) = -f(x)

So, we have:

f(-x) = (-x)^2 = x^2

-f(x) = -x^2

From the above computation, we can see that the functions f(-x) and -f(x) are not equal

Hence, the function f(x) is not an odd function

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