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

-$$f ( x ) = x ^ { 4 / 3 } - x ^ { 5 } + 5$$
A) Yes; degree $4 / 3$
B) Yes; degree 4
C) Not a polynomial
D) Yes; degree 5

Question

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

-$$f ( x ) = x ^ { 4 / 3 } - x ^ { 5 } + 5$$
A) Yes; degree $4 / 3$
B) Yes; degree 4
C) Not a polynomial
D) Yes; degree 5

Quizplus · Accepted Answer

A polynomial function must have non-negative integer exponents. The term $x^{4/3}$ has a fractional exponent, so $f(x)$ is not a polynomial function.

State Whether the Function Is a Polynomial Function or Not f(x)=x4/3−x5+5f ( x ) = x ^ { 4 / 3 } - x ^ { 5 } + 5f(x)=x4/3−x5+5