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The function $f$ is given by $f(x)=5 x^{6}-2 x^{3}-3$. Which of the following describes the end behavior of $f$ ?$\newline$(A) $\lim _{x \rightarrow-\infty} f(x)=-\infty$ and $\lim _{x \rightarrow \infty} f(x)=-\infty$$\newline$(B) $\lim _{x \rightarrow-\infty} f(x)=\infty$ and $\lim _{x \rightarrow \infty} f(x)=\infty$$\newline$(C) $\lim _{x \rightarrow-\infty} f(x)=-\infty$ and $\lim _{x \rightarrow \infty} f(x)=\infty$$\newline$(D) $\lim _{x \rightarrow-\infty} f(x)=\infty$ and $\lim _{x \rightarrow \infty} f(x)=-\infty$