For the function f given above, determine whether the following conditions are true. Input Tif the condition is true, otherwise input F.(a)f'(x)<0iff'(x)>0x>2f''(x)<00x<1f''(x)>0f''(x)<0x>4f(x)x=x=1.(e)f''(x)<0ifx>4;(f) Two inflection points off(x) are, the smaller one isx=and the other isx=0;(b)f'(x)>0ifx>2;(c)f''(x)<0if0x<1;(d)f''(x)>0if1.(e)f''(x)<0ifx>4;(f) Two inflection points off(x) are, the smaller one isx=and the other isx=