State whether the function is a polynomial function or not. If it is, give its degree.

-$$f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 5 } }$$
A)Yes; degree 5
B)Not a polynomial
C)Yes; degree -5
D)Yes; degree 4

Question

State whether the function is a polynomial function or not. If it is, give its degree.

-$$f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 5 } }$$
A)Yes; degree 5
B)Not a polynomial
C)Yes; degree -5
D)Yes; degree 4

Quizplus · Accepted Answer

The given function $f(x) = \frac{x^4 - 7}{x^5}$ is not a polynomial because it involves division by a variable, which can result in terms that are not non-negative integer powers of that variable.

State Whether the Function Is a Polynomial Function or Not f(x)=x4−7x5f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 5 } }f(x)=x5x4−7​

State Whether the Function Is a Polynomial Function or Not $f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 5 } }$