§ IIT <2>
Algebra
Level
3
If f(x) = x² + bx + c and f(2+t) = f(2-t) for all real numbers t , then which of the following is true ????
f(2) < f(1) < f(4)
f(2) < f(4) < f(1)
f(1) < f(2) < f(4)
f(1) < f(4) < f(2)
f(4) < f(1) < f(2)
f(4) < f(2) < f(1)
given information is incomp
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1 solution
go through condition f(t+2)=f(t-2) ,this provides us the value of b=-4 , then quadratic is xsquare -4x +c = f(x) , now obtain the value of f(1) = -3+c , f(2) = -4+c , f(4) = 0+c . Hence c is same for all provide us relation f(2)<f(1)<f(4)