What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? a. (-1, -3)
b. (-1, 3)
c. (1, -3)
d. (1, 3)

ANSWER

The turning point is



EXPLANATION

The function given to us is



At turning point,


So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,


We equate this to zero to obtain,



We divide through by 3.



We solve for x to get,





We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.







Therefore the turning point is



C is the correct answer.