Answer:
The given function is a polynomial function.
The degree of the function is 4 and leading co-efficient is -1.
Step-by-step explanation:
Given function is:
ƒ(x) = –x^3 – x^4 – 9 + 6x
Putting the terms in order of their power.
[tex]f(x) = -x^4-x^3+6x-9[/tex]
A polynomial is an algebraic expression which involves only positive integer exponents for the variables.
A polynomial function is of the form:
[tex]p(x) = a_nx_n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}........ a_0[/tex]
We can see that the function has no negative exponent. So the given function is a polynomial function.
The degree of a polynomial is the highest exponent of variable involved and leading co-efficient is the co-efficient of the variable with highest power.
Hence,
The given function is a polynomial function.
The degree of the function is 4 and leading co-efficient is -1.
