If (S(x)=s-8x) and (S(2)-S(9)=56), which conclusion is correct?

Correct answer: The condition is true for every real value of \(s\)

\(S(2)=s-16\) and \(S(9)=s-72\). Hence, \(S(2)-S(9)=(s-16)-(s-72)=56\). The terms involving \(s\) cancel, so the given condition is true for every real value of \(s\). Values such as \(s=56\) or \(s=8\) are merely particular values, not required ones. Exam tip: In differences of function values, first check whether the parameter terms cancel.