State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-$$f ( x ) = 5 - \frac { 3 } { x ^ { 6 } }$$
A) No; $x$ is raised to the negative 6 power
B) Yes; degree 6
C) Yes; degree $\frac { 1 } { 6 }$
D) Yes; degree $- 6$

Question

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-$$f ( x ) = 5 - \frac { 3 } { x ^ { 6 } }$$ 
A) No; $x$ is raised to the negative 6 power
B) Yes; degree 6
C) Yes; degree $\frac { 1 } { 6 }$
D) Yes; degree $- 6$

Quizplus · Accepted Answer

Polynomial functions consist of terms in the form $ax^n$ where $n$ is a non-negative integer. The given function includes $x^{-6}$, which is a negative exponent, making it not a polynomial function.

State Whether the Function Is a Polynomial Function or Not f(x)=5−3x6f ( x ) = 5 - \frac { 3 } { x ^ { 6 } }f(x)=5−x63​

State Whether the Function Is a Polynomial Function or Not $f ( x ) = 5 - \frac { 3 } { x ^ { 6 } }$