Consider the function. √x + 7 √3 if x < -4 if x = -4 -3x - 5+4 if x > -4 200-f g(x) = What can be said about the continuity of g at x = -4? Function g is continuous both from the left and from the right at x = -4. Function g is continuous from the left but not from the right at x = -4. Function g is continuous from the right but not from the left at x = -4. Function g is continuous neither from the left nor from the right at x = -4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
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Consider the function.
g(x) =
√x + 7
√3
-3x - 5+4
if x < -4
if x = -4
if x > -4
What can be said about the continuity of g at x = -4?
Function g is continuous both from the left and from the right at x = −4.
Function g is continuous from the left but not from the right at x = −4.
Function g is continuous from the right but not from the left at x = -4.
O Function g is continuous neither from the left nor from the right at x = -4.
Transcribed Image Text:Consider the function. g(x) = √x + 7 √3 -3x - 5+4 if x < -4 if x = -4 if x > -4 What can be said about the continuity of g at x = -4? Function g is continuous both from the left and from the right at x = −4. Function g is continuous from the left but not from the right at x = −4. Function g is continuous from the right but not from the left at x = -4. O Function g is continuous neither from the left nor from the right at x = -4.
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