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[lmao1010]

if we were just given this in a test is there any quick way to determine if its odd or even like anything in the eq or wud we have to go through check f(x) -fx etc

 

[Drongoski]

View attachment 34872
if we were just given this in a test is there any quick way to determine if its odd or even like anything in the eq or wud we have to go through check f(x) -fx etc

Neither unless e = 0.
x^5 and x^3 terms, are odd; sum of odd = odd. e = even. Sum of odd and even terms is neither even nor odd.



If e = 0:



which is odd.

 

[cassicowfan]

View attachment 34872
if we were just given this in a test is there any quick way to determine if its odd or even like anything in the eq or wud we have to go through check f(x) -fx etc

if the fucntion has only odd powers of x then its odd and if it only has even powers of x it is even so i guess thats a quick way to tell

bcus that has both odd and even powers (assuming e isnt 0) then its neither