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• Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer.

  𝑓(𝑥)=4𝑥2+15𝑥+9𝑥2-8𝑥,𝑎=8

  Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice.

  A. The function is not continuous at 𝑎=8 because although 𝑓(8)= is defined, lim𝑥→8𝑓(𝑥) does not exist.

  B. The function is continuous at 𝑎=8 because 𝑓(8)= is defined.

  C. The function is not continuous at 𝑎=8 because 𝑓(8) is not defined.

  D. The function is not continuous at 𝑎=8 because although 𝑓(8)= is defined and lim𝑥→8𝑓(𝑥)= exists,

  𝑓(8)≠lim𝑥→8𝑓(𝑥)

  E. The function is continuous at 𝑎=8 because 𝑓(8)= is defined and lim𝑥→8𝑓(𝑥) exists and is equal to 𝑓(8).

  F. The function is continuous at 𝑎=8 because lim𝑥→8𝑓(𝑥)=, exists.

  

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