For the function f(x, y) below, determine whether there is a value for c making the function continuous everywhere. If so, find it. f(x, y) = Sc+y x≤ 4, 6-y x > 4 C = (If there is no value of c that works, enter none, and be sure that you can explain why there is no such value.)

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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For the function f(x, y) below, determine whether there
is a value for c making the function continuous
everywhere. If so, find it.
f(x, y):
=
Sc + y
6
y
-
x ≤ 4,
x > 4
C =
(If there is no value of c that works, enter none, and be
sure that you can explain why there is no such value.)
Transcribed Image Text:For the function f(x, y) below, determine whether there is a value for c making the function continuous everywhere. If so, find it. f(x, y): = Sc + y 6 y - x ≤ 4, x > 4 C = (If there is no value of c that works, enter none, and be sure that you can explain why there is no such value.)
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