SAT I 一日一问:2014年6月4日

所属专题:出国留学  来源:CollegeBoard    要点:SAT官方题目  
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The correct answer is D

Explanation

If the graph of the function function f, which contains the points (0 , - 9), (1 , - 4), and (3 , 0), were a line, then the slope of the segment connecting the points (0 , - 9) and (1 , - 4) would be the same as the slope of the segment connecting the points (1 , - 4) and (3 , 0). However, the slope of the segment connecting the points (0 , - 9) and (1 , - 4) is 5, and the slope of the segment connecting the points (1 , - 4) and (3 , 0) is 2. Therefore, the graph of function f cannot be a line.
The statements in the other four options could be true. For example, if the equation of function f were y = - (x minus 3)^2, then the graph of function f would contain the points (0 , - 9), (1 , - 4), and (3 , 0). The graph of function f would be a parabola symmetric with respect to the line with equation x = 3. The maximum value of function f would occur at the point (3 , 0), and y less than or equal to 0 would be true for all points (x , y) on the graph of function f.

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