Q. 4 let f:r r be a continuous function such that for all r e r, f(rt) dt = 0. then ) r masters 2021 alor (a) f must be identically 0 on the whole of r (b) ther

Q. 4 Let f:R R be a continuous function such that for all r E R, f(rt) dt = 0. Then ) r Masters 2021 alor (A) f must be identically 0 on the whole of R (B) there is an f satisfying (*) that is identically O on (0, 1) but not identicaly 0 on the whole of R. (C) there is an f satisfying (") that takes both positive and negative values D) there is an f satisfying () that is 0 at infinitely many points, but is notidenticaly zero. ence Bar