Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be a continuous function. Then, $f$ is surjective if

• A

  $\lim _{x \rightarrow \infty} f(x)=\infty$ and $\lim _{x \rightarrow-\infty} f(x)=\infty$.
• B

  $\lim _{x \rightarrow \infty} f(x)=0$ and $\lim _{x \rightarrow-\infty} f(x)=\infty$.
• C

  $\lim _{x \rightarrow \infty} f(x)=0$ and $\lim _{x \rightarrow-\infty} f(x)=-\infty$.
• Correct answer
  D

  $\lim _{x \rightarrow \infty} f(x)=-\infty$ and $\lim _{x \rightarrow-\infty} f(x)=\infty$.

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