Given that :
The function is f(x) = - 3x2 - 9x .
a) To find degree of the polynomial :
The degree of a polynomial is the highest of the degree of the polynomials.
Let,
f(x) = - 3x2 - 9x
The degree of the polynomial is 2.
b) To find power function :
A power function is a function that can be represented in the form f(x) = k x p , where k and p are real numbers , and k is known as the coefficient .
Thus,
The function f( x ) = - 3x2 - 9x is not the power function.
c) To find leading coefficient :
The leading coefficient of a polynomial is the coefficient of the leading term.
Then,
The leading coefficient is - 3.
d) To find end behavior :
The degree of the function is positive and the leading coefficient is negative.
So, the end behavior is,
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