State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-$$f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 3 } }$$
A) Yes; degree -3
B) Yes; degree 3
C) No; it is a ratio of polynomials
D) Yes; degree 4

Question

Quizplus · Accepted Answer

The function is not a polynomial function because it is a ratio of two polynomials, which does not meet the definition of a polynomial function. A polynomial function must be expressible as a sum of terms, each consisting of a coefficient multiplied by a non-negative integer power of the variable.

State Whether the Function Is a Polynomial Function or Not f(x)=x4−7x3f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 3 } }f(x)=x3x4−7​

State Whether the Function Is a Polynomial Function or Not $f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 3 } }$