Find a formula for the following function.
A cubic polynomial with a local maximum at x = 7, a local minimum at x = 9, a y-intercept of 4, and an x^3 term whose coefficient is 1.
Find a formula for the following function.
A cubic polynomial with a local maximum at x = 7, a local minimum at x = 9, a y-intercept of 4, and an x^3 term whose coefficient is 1.
from the given info we know that the function looks like
so taking the derivative we get
max and min points occur when the dervitive is zero so
and
Solving this system for a and b gives us the polynomial