Limits and Continuity Answers

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Which statement describes the piecewise function when x = –6?

Since = 36 and f(x) = 36, the function is continuous when x = –6.

Since ⁡f(x) = –36 and f(x) = –36, the function is continuous when x = –6.

Since f(x) = –36 and f(x) = 36, the function is not continuous when x = –6.

Since ⁡ f(x) = 36 and f(x) = –36, the function is not continuous when x = –6.

According to the graph, the function is only left-continuous when x = and only right-continuous when x = .

–6

–3

For the domain value where the discontinuity occurs, c, f(x) = .

–4

infinite

For the domain value where the discontinuity occurs, c, f(x) = .

–4

infinite

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