Consider the following statements: 1. The relation f defined by...

Consider the following statements: 1. The relation $f$ defined by f(x)=\left\{$\begin{array}{ll}x^3, & 0 \leq x \leq 2 \\ 4 x, & 2 \leq x \leq 8\end{array}$\right. is a function 2. The relation $g$ defined by g(x)=\left\{$\begin{array}{ll}x^2, & 0 \leq x \leq 4 \\ 3 x, & 4 \leq x \leq 8\end{array}$\right. is a function. Which of the statements given above is/are correct?