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If f(1)=-2 & f'(x)_< 1.8 for 1_< x_< 8, what is the largest possible value of f(8)?

Can someone help me on this question and plz provid me some calculation for this question.

  • Math - ,

    the largest value for f(8) would be where the slope is a maximum (1.8) for 1<=x<=8.

    That would be the line
    (y+2)/(x-1) = 1.8
    y = 1.8x - 3.8
    f(8) = 10.6

  • Math - ,

    Thanks steve

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