Consider the graph of a function f(x) below. You don't need to show your work to answer the following questions. 5 4 3 2+ + + + -X 5 6 1 2 3 4 (a) Find the x-value k at which the function has a removable discontinuity. (b) What value should be assigned to f(k) to make f continuous at x = k? (c) Find the x-value t at which the function has a left-continuous discontinuity.

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 5SC
Question
Consider the graph of a function f(x) below. You don't need to show your
work to answer the following questions.
5
4
3
2+
+ + +
1 2 3 4 5 6
-X
(a) Find the x-value k at which the function has a removable discontinuity.
(b) What value should be assigned to f(k) to make f continuous at x = k?
(c) Find the x-value t at which the function has a left-continuous discontinuity.
Transcribed Image Text:Consider the graph of a function f(x) below. You don't need to show your work to answer the following questions. 5 4 3 2+ + + + 1 2 3 4 5 6 -X (a) Find the x-value k at which the function has a removable discontinuity. (b) What value should be assigned to f(k) to make f continuous at x = k? (c) Find the x-value t at which the function has a left-continuous discontinuity.
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