The graph of the following function is shown in Figure 18. Show that f is continuous for

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The graph of the following function is shown in Figure 18.

2+3 f(x) = 10-x 6x - x for x < 1 for 1  x  2 for x > 2

Show that f is continuous for x ≠ 1, 2. Then compute the right- and left-hand limits at x = 1, 2, and determine whether ƒ is left-continuous, right-continuous, or continuous at these points.

y=x + 3 9 y 1 y = 10-x 2 FIGURE 18 y=6x-x 6

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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