f(-1+x)=x^2-(2+b)x+1+c;f(2-x)=x^2+(b-4)x+4-2b+c;f(-1+x)=f(2-x) → b=1;f(0)=2 → c=2;f(x)=x^2-x+2;f(b^|x|)=f(1)=2;f(c^|x|)=f(2^|x|);2^|x|≥1 → f(2^|x|)≥f(1) → f(c^|x|)≥f(b^|x|) .