[5x, if x < 0 4. Determine the value of x for which the function f(x) = {1, if x = 0 -5x, if x > 0 a. 0 b. 1 c. 5 d. -5 is discontinuous.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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[5x, if x <0
4. Determine the value of x for which the function f(x) = {1, ifx = 0
-5x, if x > 0
a. 0
b. 1
5. A rational function (x)
=
C. 5
d. -5
a. f(a) = 0 and g(a) = 0
b. f(a) and g(a) are both defined
î
f(x)
is continuous at x = a if what condition is satisfied?
g(x)
is discontinuous.
c. g(a) = 0
d. g(a) is defined
Transcribed Image Text:[5x, if x <0 4. Determine the value of x for which the function f(x) = {1, ifx = 0 -5x, if x > 0 a. 0 b. 1 5. A rational function (x) = C. 5 d. -5 a. f(a) = 0 and g(a) = 0 b. f(a) and g(a) are both defined î f(x) is continuous at x = a if what condition is satisfied? g(x) is discontinuous. c. g(a) = 0 d. g(a) is defined
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