Polynomial Function

Question

Find the zero(s) at which f “flattens out”. Express answer in ordered pair(s).

f(x)=(x+5)²(x-1)⁵(x-2)

Answer 1

At x = 1, there is a point of inflection with a horizontal tangent....this is "flattening out" at (1,0)

The graph of this function is hard to see near x=-5, it goes very sharply from highly +, to 0 , to highly positive again. And of course, there is a minimum point near x = 2.