(1) For these problems, make a graph and label the a and b, and so on. (a) Give an example of a function f [a,b] - - > R that is bounded on [a, b], but not continuous on [a, b]. (b) Give an example of a function f [a,b] - - > R that is NOT right-continuous at x = a. (c) Give an example of a function f: A - - > that is continous and bounded at every point X0 elermant A, and A is a closed set, but f is not bounded on all of A.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 2TI: Use the graph of the function of degree 5 in Figure 10 to identify the zeros of the function and...
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(1) For these problems, make a graph and label the a and b, and so on. (a) Give an example of a function f [a,b] - - > R that is bounded on [a, b], but not continuous on [a, b]. (b) Give an example of a function f [a,b] - - > R that is NOT right-continuous at x = a. (c) Give an example of a function f: A - - > that is continous and bounded at every point X0 elermant A, and A is a closed set, but f is not bounded on all of A.
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