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?

• Correct answer
  A

  1 only
• B

  2 only
• C

  Both 1 and 2
• D

  Neither 1 nor 2

Hence, the correct answer is option: 'A'.