Question 1086975
Question:
Determine whether the function is a polynomial function.
f(x) = x^3/2 - x^6 + 6
 
Solution:
I think I have seen this question elsewhere today. :)
Assuming no missing parentheses, ie. properly interpreted using PEMDAS rules,
f(x) = (x^3)/2 - x^6 + 6
the function has one or more terms, each of which has a variable (or more) raised to a non-negative integer power.  Therefore the function is a polynomial.
 
A detailed definition and explanation of a polynomial, and the related terms, can be found : 
https://en.wikipedia.org/wiki/Polynomial