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?
a. one
b. two
c. six
d. eight

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?
a. one
b. two
c. six
d. eight

wanell · Answer

f(−x)=−f(x) is an odd function
All points in Q1 would only be reflected in Q3, and not reflected in quadrant 2 or 4.
So according to above explanation , it wil show six points in quadrant 1 and six in quadrant 3