Does a quasi linear function has global maxima or minima

Question

I am trying to optimize a single fractional function given as b+mx/c-mx. I consulted some references about its convexity, the function is a quasi linear function but I am not sure whether it has same properties as of a convex function i.e a global minima or maxima. I would appreciate any helpful comment or reference.

You may be better off asking this at math.stackexchange.com – auburg Jan 02 '18 at 10:14 — auburg, Jan 02 '18 at 10:14

score 0 · Accepted Answer · answered Jan 08 '18 at 22:55

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It will have maxima and minima at plus and minus infinity respectively without any restrictions on your problem since you will have a vertical asymptote at c/m (assuming you don't have a degenerate case such as m=0)

answered Jan 08 '18 at 22:55

Casey

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Does a quasi linear function has global maxima or minima

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