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Mcc asked in Science & MathematicsMathematics · 2 months ago

Functions Question?

An increasing function, f, is defined for x > n, where n is an integer. It is given that

f'(x) = x^2 − 6x + 8.

Find the least possible value of n.

the answer is 4 but i dont get it why its not 2 because least possible x value is 2.

1 Answer

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  • 2 months ago
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    f’(x) = x² - 6x + 8

    f(x) is increasing where f’(x) > 0

    x² - 6x + 8 > 0

    ( x - 3 )² > 1

    x < 2 and x > 4

    but f is defined for x > n

    ∴ n = 4

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