SOLUTION: The function f(x) is symmetric with respect to the origin. If f(2)=-3, then f(-2)= (A) –6 (B) –5 (C) –3 (D) 3 (E) 6

Algebra ->  Finance -> SOLUTION: The function f(x) is symmetric with respect to the origin. If f(2)=-3, then f(-2)= (A) –6 (B) –5 (C) –3 (D) 3 (E) 6      Log On


   



Question 1078839: The function f(x) is symmetric with respect to the origin. If f(2)=-3, then f(-2)=
(A) –6 (B) –5 (C) –3 (D) 3 (E) 6

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Question 1078837
f(a)=b means that the graph contains the point (a,b)

So

f(2)=-3 means that the graph contains the point (2,-3)



We want to reflect that point through the origin, so first draw a line
(in red from that point up to the origin, like this:



Now continue that line the same distance on the other side of the
origin, like this:



Now can you figure out what that point is? If so, the answer will be
its y coordinate.


Edwin