passpadi

2014

Mathematics

67ca00ce0c643c71d77dee1f

Find the minimum value of y = x2 - 2x - 3

A.

4

B.

1

C.

-1

D.

-4

Correct Answer: -4

Explanation

y = x2 - 2x - 3, Then δy/δx = 2x − 2 But at minimum point,δy/δx = 0 , Which means 2x - 2 = 0 2x = 2 x = 1. Hence the minimum value of y = x2 - 2x - 3 is; ymin = (1)2 - 2(1) - 3 ymin = 1 - 2 - 3 ymin= -4

y = x2 - 2x - 3, Then δy/δx = 2x − 2 But at minimum point,δy/δx = 0 , Which means 2x - 2 = 0 2x = 2 x = 1. Hence the minimum value of y = x2 - 2x - 3 is; ymin = (1)2 - 2(1) - 3 ymin = 1 - 2 - 3 ymin= -4
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