A cubic polynomial with a local maximum at x = 1, a local minimum at x = 3, a y-intercept of 6, and an x3 term whose coefficient is 1.
ok, so how the flip do i do this bad johnny...thanks for any help..
Let the general form of the cubic be
we know that since this is the y-intercept.
so we have:
since the local max is at x = 1, it means and
since the local min is at x = 3, it means and
can you continue? (you may not need the second derivative, i just gave you extra information for your general edification)