Question

algebraically determine whethere the fuction f(x)=2X times the square root 3+x^4 is even, odd, or neither.

Answer 1

f(x) = 2x(3 + x^4)
= 6x + 2x^5
f(-x) = -6x - 2x^5
= -(6x + 2x^5)
= -2x(3 + x^4)

since f(-x) = -f(x), f(x) is odd

Answer 2

\[f(x)= 2x \sqrt{3+x^4}\]

Answer 3

f(x) = 2x * sqrt(3+x^4 ) ===> f(-x)= -2x*sqrt(3+x^4 ) ==> -f(x) = -2x *sqrt(3+x^4 ) ==> f(-x)=-f(x) is odd

Answer 4

can u write that out im confused

Answer 5

thanks