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11 March, 05:57

Which is the minimum or maximum value of the given function? a. The function has a minimum value of - 2 b. The function has a minimum value of 1 c. Function has a maximum value of - 2 d. The function has a maximum value of 1

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  1. 11 March, 06:16
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    The function f (x) is not given, I used a different function but the approach and steps is the same.

    Step-by-step explanation:

    Given the function f (x) = 2x2 - 8x + 5

    compare with the normal quadratic equation; ax2 + bx + c = f (x)

    a = 2, b = - 8 and c = + 5 since a is greater than zero i. e a > o {positive}

    As such, it has a minimum

    hence for minimum value; x = - b/2a

    x = - (-8) / 2 x 2

    x = 8/4 = 2

    plugging the values of x in f (x); f (2) = 2 (2) ^2 - 8 (2) + 5

    f (2) = - 3, hence it has minimum value and the minimum value is - 3
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