Chapter 2 - Functions and Their Graphs - 2.3 Properties of Functions - 2.3 Assess Your Understanding - Page 79: 41

odd

We know that if a function is odd, then $f(-x)=-f(x).$ We know that if a function is eben, then $f(-x)=f(x).$ Hence, we plug in $-x$ into $x$ to see what happens. $F(-x)=\sqrt[3]{-x}\\ F(-x)=\sqrt[3]{(-1)(x)}\\ F(-x)=(-1)\sqrt[3]{x}\\ F(-x)=-\sqrt[3]{x}\\ F(-x)=-F(x)$ Therefore the function is odd.