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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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