48 The figure above shows the graph of a polynomial function

48. The figure above shows the graph of a polynomial function f. What is the least possible degree of f (A) Two (B) Three (C) Four (D) Five (E) Six

Solution

This has three bumps , it\'s an even-degree polynomial (being \"up\" on both ends), and the zero in the middle is an even-multiplicity zero. Also, the bump in the middle looks flattened, so this is probably a zero of multiplicity 4 or more. With the two other zeroes looking like multiplicity-1 zeroes, this is a likely graph for a sixth-degree polynomial.

Option E is the correct answer

six