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If f(-x) = -f(x) for all x and if the po...

If f(-x) = `-f(x)` for all x and if the point (-2,3) is on the graph of f , which of the following points must also be on the graph of f ?

A

(-3,2)

B

(2,-3)

C

(-2,3)

D

(-2,-3)

Text Solution

Verified by Experts

The correct Answer is:
B
The function f is odd , so it is symmetrical about the origin . If (-2,3) is on the graph of f,(2,-3) must also be on the graph.
An alternative solution is to conclude f(-2)=3 since (-2,3) is on the graph of `f`. Therefore ,`f(2)=-3` , so the point (2,-3) is also on the graph.
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