Brooks Evans
03/14/2023 · High School

Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer \( f(x)=\frac{3 x^{2}+16 x+5}{x^{2}-4 x}, a=4 \) Select all that apply. \( \square \) A. The function is continuous at \( a=4 \). \( \square \) B. The function is not continuous at \( a=4 \) because \( f(4) \) is undefined \( \square \) C. The function is not continuous at \( a=4 \) because \( \lim _{x \rightarrow 4} f(x) \) does not exist \( \square \) D. The function is not continuous at \( a=4 \) because \( \lim _{x \rightarrow 4} f(x) \neq f(4) \).

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The function is not continuous at \( a=4 \) because \( f(4) \) is undefined and \( \lim_{x \to 4} f(x) \neq f(4) \).

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