SOLUTION: If you are given a function's graph, how do you determine if the function is even, odd, or neither?

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Question 67437: If you are given a function's graph, how do you determine if the function is even, odd, or neither?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
If you are given a function's graph, how do you determine if the function is even, odd, or neither?
IF THE FUNCTION IS EVEN , THEN Y=F(X)=F(-X)....THAT IS IT WILL BE SYMMETRICAL ABOUT ORIGIN.THAT IS IT WILL A MIRROR IMAGE OF THE GRAPH IN I QUADRANT WITH THE MIRROR PLACED ALONG THE Y AXIS..SEE GRAPH BELOW
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%29+

IF THE FUNCTION IS ODD , THEN Y=F(X)=-F(-X).....THAT IS IT WILL BE A MIRROR IMAGE OF THE GRAPH IN FIRST QUADRANT,THE MIRROR PLACED AT ORIGIN AT 45 DEGREE ANGLE LYING ALONG II AND IV QUADRANT
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%29+

IF ITS NEITHER EVEN NOR ODD , IT WILL NOT SHOW THE TYPE OF SYMMETRY AS MENTIONED ABOVE...THAT IS IT WILL NOT BE AN IMAGE OF ITSELF WITH MIRROR PLACED ON Y AXIS OR IN 45 DEGREE INCLINATION MENTIONED ABOVE.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E2-5x%5E3%29+