Question

For the following exercises, determine the least possible degree of the polynomial function shown.

Answer 1

Solution

To determine the least possible degree of the polynomial function

The function has atmost n - intercepts in the horizontal

The graph turns 4 times in the above curve, hence n = 4

$\begin{gathered} n+1 \\ n=\text{ number of turns} \\ 4+1=5 \end{gathered}$

Therefore the least possible degree of the polynomial = 5

Hence it is a 5 possible polynomial function