Answer:
(a)Degree 3
(b)
Step-by-step explanation:
The function represented by the set of points: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} has 2 turning points when plotted on a graph.
(a)Now, we know that the maximum number of turning points of a polynomial function is always one less than the degree of the function.
Therefore, the polynomial has a degree of 3
(b)A cubic function is one in the form where d is the y-intercept.
From the set of values, the y-intercept, d=3
Therefore, our polynomial is of the form:
Solving the three resulting equations simultaneously use a calculator), we obtain:
Therefore, an equation of this function is:
