X1 x -6 Calculus - Discontinuity. We can see that this curve is smooth everywhere except at x-1. Continuity Precalculus Ii A continuous function can be graphed as a single connected curve. . Fc is defined 2. If there is any break in the graph the function has a point of discontinuity. We have to graph this function and check which list of points lie on the graph. A function is continuous when its graph is a single unbroken curve that you could draw without lifting your pen from the paper. The function graphed below is continuous everywhere. There are no sudden jumps and no missing values. Calculus gives us a way to test for continuity using limits instead. So limit does not exist. The arrows on the function indicate it will grow infinitely large as x approaches a. The function has a removable discontinuity at x 3. Go through the continuity and discontinuity examples given below. So this fu...
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