Question

Is 1-x^2/2 a polynomial function.

Answer 1

\[\frac{ 1-x^2 }{ 2 }\]

Answer 2

A poynomial function is anything that has powers of x (and no other functions like sin,log,...)

Roughly

Answer 3

and exponents of x are integers

Answer 4

But is the equation I gave one?

Answer 5

Because It looks like a rational to me.

Answer 6

What is the definition of a rational function?

Answer 7

Its a rational if there is a function of x in the denominator (not here). If I do this to it\[-\frac{1}{2}x ^{2}+\frac{1}{2}\]then what do you think?

Answer 8

Well, I guess it is a polynomial function due to the x^2 and no fractions.

Answer 9

I think it is too.

Answer 10

So a rational function has to have an x on the denominator. And a poly. does not.

Answer 11

I would say yes.

Answer 12

I like school buses.
Thanks!

Answer 13

Me too! woof!