Which statement about y = x2 − x3 is true?
a. it is not a function.

b. it is an even function.

c. it is neither an odd nor an even function.

d. it is an odd function.

ANSWER

c.It is neither an odd nor an even function.

EXPLANATION

The given function is

If this function is odd, then f(-a)=-f(a).

Now ,

Since

The function is not odd.

Also if the function is even, then

Since

the function is not even.

Hence the function is neither even nor odd.

Option c. It is neither an odd nor an even function.

Step-by-step explanation:

The equation is a function, because there is a single value of y for each value of the domain x.

To test if it is an even function we must do  . If then it is an even function.

If then it is an odd function

Simplifying we have:

f(-x) is not equal to f(x) so the function is not even.

f(-x) is not equal to -f(x) so the function is not odd.

THE correct answer is the option c

answer: (x+2) (x+3) are the binomials for your question : )