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Mathematics 15 Online
OpenStudy (lena772):

odd functions

OpenStudy (lena772):

OpenStudy (unklerhaukus):

The value of an odd function at point \(x\) is equal to the negative of that function at the point \(-x\) \[f_\text{odd}(x)=-f_\text{odd}(-x)\]

OpenStudy (unklerhaukus):

for example the function \(f(x)=x\) is an odd function because \[f(x)=x\\f(-x)=-x\\ f(x)=-f(-x)\]

OpenStudy (unklerhaukus):

Your question is asking, of which of the options is the function not odd. So go through each option and test wether it is odd or not, i.e. test if \(f(x)=-f(-x)\) is true or not

OpenStudy (unklerhaukus):

so is\[\tan(x)\stackrel ?=-\tan(-x)\]

OpenStudy (lena772):

Yes

OpenStudy (lena772):

so is the second one. is the last one the answer?

OpenStudy (unklerhaukus):

correct

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