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

Question

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

Answer 1

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

Answer 2

Thanks steve