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# What are the coordinates of the turning point for the function f(x) = (x - 1)^{3} - 3?

(-1, -3); (-1, 3); (1, -3); (1, 3)

**Solution:**

The given function is

f(x) = (x - 1)^{3} - 3

Now differentiate with respect to x

f’(x) = 3(x - 1)^{2}

At the turning point of the function f(x)

f’(x) = 0

3(x - 1)^{2} = 0

(x - 1)^{2} = 0

x - 1 = 0

x = 1

Substituting the value of x in the given function

f(1) = (1 - 1)^{3} - 3

f(1) = -3

Therefore, the coordinates of the turning point is (1, -3).

## What are the coordinates of the turning point for the function f(x) = (x - 1)^{3} - 3?

(-1, -3); (-1, 3); (1, -3); (1, 3)

**Summary:**

The coordinates of the turning point for the function f(x) = (x - 1)^{3} - 3 is (1, -3).

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