Determine the values of x for which the function, as represented by the graph to

Question

Determine the values of x for which the function, as represented by the graph to the right is continuous. If the function is not continuous, determine the reason. Where is the function continuous or not continuous? The function is not continuous at x = 0. The function is continuous for all values of x greater than or equal to 0. The function is continuous for all values of x less than or equal to 0. The function is continuous for all values of x. Why is the function continuous or not continuous? A small change near x = 0 may produce a large change in f(x). The function exists for all points and any small change in x produces only a small change in f(x). The function does not exist at the point x = 0 and a small change near this x-vahie may produce a large change in f(x). The function does not exist at the point x = 0.

Explanation / Answer

The given graph does not have any break points and is continuous over all values of x. Hence,

For Question 1

Answer: Option D The function is continuous for all values of x.

For Question 2

Answer: Option B The function exists for all points and any small change in x produces only a small change in f(x)

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