4. In each part below, give an example of a function which satisfies the given criteria. Justify that your example is correct. You should give the simplest example of which you can think. (i) A function f whose domain is (-1,1) such that lim f(z) = 3 and lim f(z) = -2. 0- A function f whose domain is (-1,1) such that f(z) > 0 for all z e (-1,1), and lim f(z) = 0. (iii) A function f whose domain is R, such that f is not continuous at 0, but fof is continuous at 0.

4. In each part below, give an example of a function which satisfies the given criteria. Justify that your example is correct. You should give the simplest example of which you can think. (i) A function f whose domain is (-1,1) such that lim f(z) = 3 and lim f(z) = -2. 0- A function f whose domain is (-1,1) such that f(z) > 0 for all z e (-1,1), and lim f(z) = 0. (iii) A function f whose domain is R, such that f is not continuous at 0, but fof is continuous at 0.

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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