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Continuity Sample Questions:

Question 1:Check if the function is continuous at .


Answer: Not continuous at .

Explanation: Find the domain of the function.

 

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Question 2: Check if the function is continuous at .


Answer: Not continuous at .

Explanation: Find the domain of the function.

 

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Question 3:Check if the function is continuous at .


Answer: Continuous at .

Explanation: Find the domain of the function.

 

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Question 4: Check if the function is continuous at .



Answer: Not continuous at .

Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit. 

 

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Question 5: Check the continuity:



Answer: Function is continuous.

Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.

 

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Question 6: Check the continuity at .



Answer: Not continuous at .

Explanation: Analyze the left-hand and right-hand side limits.

 

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Question 7: Check the continuity of the function in the interval



Answer: Function is continuous.

Explanation: Analyze the curve in the given interval.

 

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Question 8: Check the continuity at .



Answer: Function is not continuous.

Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.

 

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Question 9: Check the continuity:



Answer: Function is continuous.

Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.

 

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Question 10: Check the continuity at x=-4.



Answer: Function is not continuous.

Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.

 

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