State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-$$f ( x ) = x ^ { 3 / 2 } - x ^ { 6 } + 7$$
A) Yes; degree $3 / 2$
B) Yes; degree 3
C) Yes; degree 6
D) No; $\mathrm { x }$ is raised to non-integer $3 / 2$ power

Question

Quizplus · Accepted Answer

Polynomial functions have terms with whole number exponents. Since $x$ is raised to the $3/2$ power, which is not an integer, the function is not a polynomial.

State Whether the Function Is a Polynomial Function or Not f(x)=x3/2−x6+7f ( x ) = x ^ { 3 / 2 } - x ^ { 6 } + 7f(x)=x3/2−x6+7

State Whether the Function Is a Polynomial Function or Not $f ( x ) = x ^ { 3 / 2 } - x ^ { 6 } + 7$