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SAT数学练习题——函数题

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函数题是SAT数学考试中常考题型,下面我们为大家详细解析一下函数题如何解,大家可以借鉴一下思路。希望对大家的备考有所帮助。

 

If f(x) = x2 – 3, where x is an integer, which of the following could be a value of f(x)?

  I 6  II 0  III -6

 

  A. I only

  B. I and II only

  C. II and III only

  D. I and III only

  E. I, II and III

 

Correct Answer: A

 

解析:

 

Choice I is correct because f(x) = 6 when x=3. Choice II is incorrect because to make f(x) = 0, x2 would have to be 3. But 3 is not the square of an integer. Choice III is incorrect because to make f(x) = 0, x2 would have to be 3 but squares cannot be negative. (The minimum value for x2 is zero; hence, the minimum value for f(x) = -3)


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