Determine whether the function is a polynomial function.
-$$f ( x ) = \sqrt [ 3 ] { x ^ { 4 } } - x ^ { 4 } + 2$$
A) $\mathrm { No }$
B) Yes

Question

Quizplus · Accepted Answer

A polynomial function is defined as a function that can be expressed in the form $a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0$, where the exponents are non-negative integers. The term $\sqrt[3]{x^4}$ can be rewritten as $x^{4/3}$, which is not a non-negative integer exponent, thus making the function not a polynomial.

Determine Whether the Function Is a Polynomial Function f(x)=x43−x4+2f ( x ) = \sqrt [ 3 ] { x ^ { 4 } } - x ^ { 4 } + 2f(x)=3x4​−x4+2

Determine Whether the Function Is a Polynomial Function $f ( x ) = \sqrt [ 3 ] { x ^ { 4 } } - x ^ { 4 } + 2$