AMS 11A Chapter 10.3: 2016 09 30

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Show that f(x) = 5 is continuous at 7. A function is continuous on an interval if it is continuous at every point. A function is continuous on its domain if it is continuous at each point in its domain. In the graph f(x) = 1 / x, f is not defined at 0 but is defined at all others nearby, so f is discontinuous at. Also, 0+ (cid:4666) (cid:4667) = , and least one of the one-sided limits is either or . A function has infinite discontinuity at a when at. Therefore, f has infinite discontinuity at x = 0. Find all the points of discontinuity when (cid:4666) (cid:4667) = 2 3. When x equals -4 or 2, the denominator equals 0, which isn"t allowed. Therefore, f is discontinuous only at -4 and 2. Find all points of discontinuity for when (cid:4666) (cid:4667)= + 6 (cid:4666) .

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