Determine whether the given function is a polynomial function. If it is a polynomial function, state the degree. If not, state the reason why. $$k ( x ) = - 3 x ^ { 6 } - 0.7 x + x ^ { 3 }$$
A) No, some range elements correspond to more than one domain element
B) Yes; degree 6
C) Yes; degree 10
D) No; -0.7 is not an integer

Question

Quizplus · Accepted Answer

A polynomial function consists of terms in the form $a_nx^n$ where $n$ is a non-negative integer and $a_n$ is a coefficient. The given function $k(x) = -3x^6 - 0.7x + x^3$ fits this definition, with the highest power of $x$ being 6, making it a polynomial of degree 6.

Determine Whether the Given Function Is a Polynomial Function k(x)=−3x6−0.7x+x3k ( x ) = - 3 x ^ { 6 } - 0.7 x + x ^ { 3 }k(x)=−3x6−0.7x+x3

Determine Whether the Given Function Is a Polynomial Function $k ( x ) = - 3 x ^ { 6 } - 0.7 x + x ^ { 3 }$