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f-0-pi-0-1-x-sin-x-f-injective-f-surjective-f-bijective-




Question Number 130714 by greg_ed last updated on 28/Jan/21
f : ]0 , π] → [0 , 1]              x        sin x  f  injective ? f surjective ? f bijective ?
$$\left.{f}\left.\::\:\right]\mathrm{0}\:,\:\pi\right]\:\rightarrow\:\left[\mathrm{0}\:,\:\mathrm{1}\right] \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{x}\:\:\:\: \:\:\:\mathrm{sin}\:{x} \\ $$$${f}\:\:\mathrm{injective}\:?\:{f}\:\mathrm{surjective}\:?\:{f}\:\mathrm{bijective}\:? \\ $$

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