Step 1 :The end behavior of a function is determined by the degree and the leading coefficient of the polynomial. The degree of the polynomial is 5, which is odd, and the leading coefficient is -2, which is negative.
Step 2 :For polynomials with an odd degree and a negative leading coefficient, the left end of the graph goes up and the right end of the graph goes down.
Step 3 :So, the final answer is D. The left end goes up; the right end goes down.