9
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Question 9 • Algebra II

The graph of f of x consists of 14 points. Six of the points lie in Quadrant I of the coordinate plane. If f of x is an odd function, what is the greatest number of points that can lie in Quadrant II?

Answer
A
one
B
four
C
six
D
eight

Explanation

For an odd function, if (x, y) is on the graph, then (-x, -y) is also on it. Thus each of the six points in Quadrant I has a matching point in Quadrant III, accounting for 12 points. The two remaining points can form at most one matching pair in Quadrants II and IV, so the greatest number in Quadrant II is one.

AI-written and checked against the verified answer.

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