Identify the following function $f(x)=\sqrt{1+x+x^2}-\sqrt{1-x+x^2}$ as

odd even Neither odd nor even Cannot be determined

odd

$f(-x)=\sqrt{1+(-x)+(-x)^2}-\sqrt{1-(-x)+(-x)^2}$ $=\sqrt{1-x+x^2}-\sqrt{1+x+x^2}$ $=-f(x)$ Hence, f(x) is odd.