Find the equations of any horizontal tangents to the curve
y = x^3 - 3x ^2 - 9x + 2

Answers:

y = -25

y = 7

Step-by-step explanation:

Find the derivative of the function.

The zeros of the derivative are the local extrema (Maximum & Minimum)

Take out the greatest common factor, 3, to get this equation:

Factor out the brackets.

You are left with two possible values for x:

x = 3

x = -1

By substituting each value into the original function , you get the equation of any horizontal tangents to the curve.

When x = 3:

      Meaning y = -25

When x = -1:

   Meaning  y = 7

y > 1/3x

y < = -x + 4

hope this : )

i believe the answer is the polygon, heptagon.