Which of the following functions is not continuous?

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Question: Which of the following functions is not continuous?

Options:

Correct Answer: f(x) = 1/x

Solution:

f(x) = 1/x is not continuous at x = 0.

Which of the following functions is not continuous?

Which of the following functions is not continuous?

Step 1: Understand what continuity means. A function is continuous if you can draw it without lifting your pencil.
Step 2: Identify the function given in the question, which is f(x) = 1/x.
Step 3: Check where the function f(x) = 1/x is defined. It is defined for all x except x = 0.
Step 4: Recognize that at x = 0, the function f(x) = 1/x does not have a value (it is undefined).
Step 5: Conclude that since f(x) = 1/x is not defined at x = 0, it cannot be continuous at that point.

No concepts available.