Directions: Determine if the function is continuous or not at the following values and intervals. 1. f(x) = x2 - 6x + 3 at x = 3, [-3,2] x2-16 2. f(x) = at x = 5, [0,4] X-4 3. f(x) = Vx - 5 at x = 4, [5, 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Directions: Determine if the function is continuous or not at the following values and
intervals.
1. f(x) = x² – 6x + 3
at x = 3 ,
[-3,2]
x² -16
2. f(x) =
at x = 5 ,
[0,4]
%3D
X-4
3. f(x) = Vx - 5
%3D
at x = 4 ,
[5, 0)
3 - x if x < 2
4. f(x) :
-3
if x > 2
at x = 2,
(-∞,2)
%3D
2x – 3 if x 2 2
5. f(x) =
%3D
-2x + 2 if x < 2
at x = 2,
[2, +0)
Transcribed Image Text:Directions: Determine if the function is continuous or not at the following values and intervals. 1. f(x) = x² – 6x + 3 at x = 3 , [-3,2] x² -16 2. f(x) = at x = 5 , [0,4] %3D X-4 3. f(x) = Vx - 5 %3D at x = 4 , [5, 0) 3 - x if x < 2 4. f(x) : -3 if x > 2 at x = 2, (-∞,2) %3D 2x – 3 if x 2 2 5. f(x) = %3D -2x + 2 if x < 2 at x = 2, [2, +0)
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