Question

f(x)=Max{4x-1,3-2x,2x-3},求f(x)的最小值.

Answer 1

i)f(x)=4x-1,so 4x-1>=3-2x,4x-1>=2x-3,x>=2/3,minf(x)=f(2/3)=5/3

ii)f(x)=3-2x,so 3-2x>=4x-1,3-2x>=2x-3,x=4x-1,2x-3>=3-2x,x extinct

so,minf(x)=5/3