7cec8177abc236a14e81d2b628f1736f4bbad46f


얘가 무조건 연립일차방정식 문제로 만들어서 풀려는걸 막으면 됨


근데 직접적으로 '그 방법 쓰지마' 하는건 문제에 힌트를 너무 주는거같아서 예전에 시도했던게 이거임


그래도 이악물고 연립방정식 세우는식으로만 풀려고 하더라


[Instructions]

1. Analyze 'all' conditions given in the problem carefully and actively use 'all' conditions.

2. If one approach fails, you must try another approach in completely new way.

3. Keep trying various approaches until the problem is solved.

4. Never request any additional information or hints, as they do not exist.

5. Only analytical way available. Never use numerical methods.

[Note]

1. It is proven that the problems can be solved with the given information alone without any additional information.

2. The problem has not been entered incorrectly.

3. Only one answer exists.

[Problem]

A cubic function f(x) with the highest term coefficient of 1 satisfies the following condition: "There does not exist an integer k such that f(k-1)f(k+1)<0 for the function f(x)." Given f'(-1/4)=-1/4 and f'(1/4)<0, find the value of f(8).