SOLUTION: Determine if the function is odd, even or neither f(x) = x √4 - x2 f(-x)= -x (2-(-x) (2+(-x) -x (2x-2x) This is where I am stuck.

Algebra.Com
Question 70965This question is from textbook
: Determine if the function is odd, even or neither

f(x) = x √4 - x2
f(-x)= -x (2-(-x) (2+(-x)
-x (2x-2x)
This is where I am stuck.
This question is from textbook

Answer by mathman409(67)   (Show Source): You can put this solution on YOUR website!
it's even
-x (2x-2x)=0, and f has to be 0.

RELATED QUESTIONS

Determine whether the function f(x)=2x^4-x^2 is even, odd, or... (answered by stanbon)
Determine algebraically whether the given function is even,odd, or neither. f(x)=-2x^2... (answered by tommyt3rd)
Determine algebraically whether the function is odd, even, or neither:... (answered by ikleyn)
Determine algebraically whether the function f(x)=x^3-2x+1 is odd, even, or... (answered by MathLover1,greenestamps)
I am supposed to determine whether f(x)= 2x^4+5x^2-1 is odd, even, or neither. This is... (answered by josgarithmetic)
Is this function Odd, Even, or Neither? {{{ f(x) = -x^4 + 2x^4 }}} (answered by ikleyn)
Determine algebraically whether the function is even, odd, or neither. f(x) = 2x^3 (answered by Fombitz)
determine algebraically whether the function f(x)=5x3-2x is even odd, or... (answered by richard1234)
Determine whether the function is even, odd, or neither. f(x) = x^2 cos 7x (answered by lwsshak3)