Algebra 2 question, !
the degree of the polynomial function represented by the graph is (odd or even) , and its leading coefficient is (positive or negative) .

Let the leading term of the polynomial, f(x), be axⁿ.

Examine the possibilities.
     n      a      x -> - ∞     x -> +∞
       
even   a>0    f -> +∞     f -> +∞   Not true
even   a<0    f-> - ∞      f-> -∞    True
odd     a>0    f-> -∞      f-> +∞    Not true
odd     a<0    f-> +∞     f-> -∞     Not true

(a) the degree of the polynomial is even, and
(b) the coefficient of the leading term is negative.