An observer watching (and remotely measuring) an object accelerate from rest up to near c would notice its mass...

(a) linearly increase all the way to c (graduation metrics needed)
(b) linearly increase; then exponentially increase at some speed near c
(c) other

Well, you could just take the equations for the relativistic correction of the mass:

m(v(t)) = γ(v(t)) m₀

and then plug in for the velocity:

v(t) = a t

and then basically you have look at gamma because m₀ does not change (obviously) and you have

γ(t) = (1 - a² t² / c²)^-0.5

so the answer would be (c) other.

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Looks like a homework problem!

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