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 $$ \lim _{x ightarrow 4} f(x) $$ does not exist $$ \square $$ D. The function is not continuous at $$ a=4 $$ because $$ \lim _{x ightarrow 4} f(x)
eq f(4) $$.

Question

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 $$ \lim _{x ightarrow 4} f(x) $$ does not exist $$ \square $$ D. The function is not continuous at $$ a=4 $$ because $$ \lim _{x ightarrow 4} f(x) 
eq f(4) $$.

Clark Barrett · Accepted Answer

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

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