Consider the following function: 567 X if x-6 f(x) = k+569 if x = -6 (kx)23 if x > -6 For each of the questions below, if you think there is a positive-integer-number of answers, list your answers separated by commas. If you think there are infinitely many answers that form an interval, use interval notation. a) For which value(s) of k will lim f(x) exist? 4, 9-←科 b) For which value(s) of / will f(x) be continuous at x = -6? 4 c) For which value(s) of / will f(x) have a removable discontinuity at x = −6? d) For which value(s) of / will f(x) have an essential jump discontinuity at x = −6?
Consider the following function: 567 X if x-6 f(x) = k+569 if x = -6 (kx)23 if x > -6 For each of the questions below, if you think there is a positive-integer-number of answers, list your answers separated by commas. If you think there are infinitely many answers that form an interval, use interval notation. a) For which value(s) of k will lim f(x) exist? 4, 9-←科 b) For which value(s) of / will f(x) be continuous at x = -6? 4 c) For which value(s) of / will f(x) have a removable discontinuity at x = −6? d) For which value(s) of / will f(x) have an essential jump discontinuity at x = −6?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.CM: Cumulative Review Exercises
Problem 16CM
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Transcribed Image Text:Consider the following function:
567
x if x-6
f(x) =
k+569 if x = -6
(kx)23 if x > −6
For each of the questions below, if you think there is a positive-integer-number of answers, list
your answers separated by commas. If you think there are infinitely many answers that form an
interval, use interval notation.
a) For which value(s) of k will lim f(x) exist?
4,
9-←科
b) For which value(s) of / will f(x) be continuous at x = -6?
4
c) For which value(s) of / will f(x) have a removable discontinuity at x = −6?
d) For which value(s) of / will f(x) have an essential jump discontinuity at x = −6?
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