How Do You Determine If G(x) = -6x + 5x^3 Is An Even Or Odd Function?

How do you determine if #g(x) = -6x + 5x^3# is an even or odd function? Precalculus Functions Defined and Notation Introduction to Twelve Basic Functions

1 Answer

Konstantinos Michailidis Mar 21, 2016

Hence

#g(-x)=-6*(-x)+5*(-x)^3=6x-5x^3=-(6x+5x^3)=-g(x)#

Finally the function is odd because #g(-x)=-g(x)#

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