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1995 AMC 12 Question 12

AMC12 · 1995 AMC 12

Question 12

Let $f$ be a linear function with the properties that $f(1)\le f(2),$ $f(3)\ge f(4),$ and $f(5)=5.$ Which of the following statements is true?
  1. $f(0)\lt0$
  2. $f(0)=0$
  3. $f(1)\lt f(0)\lt f(-1)$
  4. $f(0)=5$
  5. $f(0)\gt5$