Suppose f is continuous on the interval (0,3). Assume further that f(0)= -2 and f(-3)= 5. Also, lim of x approaches to 0 negative  f(x)= -5, lim of x approaches to 0 positive f(x)= -2, lim of x approaches to 3 negative f(x)= -2, and lim of x approaches to 3 positive f(x)=5. What would be the result, discountinuous or continuous at what point?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Suppose f is continuous on the interval (0,3). Assume further that f(0)= -2 and f(-3)= 5. Also, lim of x approaches to 0 negative  f(x)= -5, lim of x approaches to 0 positive f(x)= -2, lim of x approaches to 3 negative f(x)= -2, and lim of x approaches to 3 positive f(x)=5. What would be the result, discountinuous or continuous at what point?

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