G(t)=3t^3 even or odd?

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Answer 1 · 2018-02-23T17:13:37

Odd.

A function is even if:

#f(x)=f(-x)#

A function is odd if:

#f(-x)=-f(x)#

Test:

#f(x)=f(-x)#

#f(x)=3x^3#

#f(-x)=-3x^3#

#f(-x)!=f(x)#

Not even

Test:

#f(-x)=-f(x)#

#f(-x)=3(-x)^3=-3x^3=-f(x)#

The function is odd.