Et f:r→r be given by f(x) =⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪x5 5x4 10x3 10x2 3x 1,x2−x 1,23x3−4x2 7x−83,(x−2)loge(x−2)−x 103,x<0;0≤x<1;1≤x<3;x≥3 then which of the following options is/are correct?