Given g(x) (ax3+bx2+cx+d) find the values of a, b, c and

Last updated: 8/10/2022

Given g(x) (ax3+bx2+cx+d) find the values of a, b, c and d if the function passes through the points (0, 2) and ( 1, 12); and the tangent at either point is horizontal. Indicate the interval(s) on which the function is increasing or decreasing.