Question

. Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term.
-3x5 + 9x4 + 5x3 + 3

Answer 1

Because this is a fifth degree polynomial, it's an odd function.  Odd functions have one tail go up and the other down.  Because the leading coefficient is a negative number, 3 to be exact, the left one goes up and the right goes down.