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Is the function given by $g(x)={21?x+3,?x+9,?forx<4forx>4?$ continuous at $x=4$ ? Why or why not? Select all that apply. A. The function is continuous at $x=4$ because $x?4lim?g(x)$ exists. B. The function is continuous at $x=4$ because $g(4)$ exists. C. The function is not continuous at $x=4$ because $x?4lim?g(x)$ does not exist. D. The function is continuous at $x=4$ because $x?4lim?g(x)$ is equal to $g(4)$. E. The function is not continuous at $x=4$ because $g(4)$ does not exist.