Question

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

one
two
six
eight

Answer 1

Answer: 1

Explanation:

If f(x) is an odd function, this means that f(x)=-f(-x). So, if 6 points lie in Quadrant I, then this means that 6 points must lie in Quadrant III.

This leaves us with 2 points.

Similarly, we know that for every point in Quadrant II, there must be a corresponding point in Quadrant IV.

This gives us 2/2 = 1 point.