Final answer:
To find the correct second piece function for the not-a-knot cubic spline within the interval -2≤x<1, we need the exact coefficients for the cubic function based on the given points. However, the details provided contain confusions and inaccuracies, thus preventing a definitive answer.
Step-by-step explanation:
To find the second piece and the interval of the second piece for the 'not-a-knot' cubic spline function that passes through the given points, we need to establish the cubic spline function for the interval -2≤x<1. Based on the coefficients provided, the general form of the cubic function for the second interval looks like:
f(x) = ax^3 + bx^2 + cx + d
Since the points (-2,0) and (1,3) are part of the cubic spline on this interval, we can substitute them into the equation to solve for 'd'. After using the given values for 'a', 'b', and 'c', the function should represent the second piece accurately.
Unfortunately, there seems to be some confusion in the question details, like irrelevant quadratic equation examples and coefficients that do not directly correspond to the cubic spline information. To provide an accurate answer, we need the correct coefficients for 'a', 'b', 'c', and 'd' specifically calculated for this not-a-knot cubic spline.
Without the precise coefficients, it's impossible to determine which of the options provided is the correct second piece function for the given interval.