Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 39PPS
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Question
34. (a) The terminology removable discontinuity is appropriate because a removable discontinuity of a function f at x = c can be “removed” by redefining the value of f appropriately at x = c. What value for f(c) removes
the discontinuity?
(b) Show that the following functions have removable discontinuities at x = 1, and sketch their graphs.
f(x) = x2 − 1 / x − 1 and g(x) = {1, x > 1 & 0, x = 1 & 1, x < 1
(c) What values should be assigned to f(1) and g(1) to remove the discontinuities?
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