Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. X = 5x f(x) = 6 -x √x Is f continuous from the right, left, or neither at this value? O continuous from the right continuous from the left neither Sketch the graph of f. y O -2 10 8 6 4 2 -2 -4 -6 -8 -10 y 10 8 6 4 2 if x ≤ 1 if 1 < x≤ 7 if x > 7 2 4 6 8 10 X -2 y 10 8 6 4 2 -2 -4 -6 -8 -10 y 10 8 6 4 2 2 4 6 J 8 10 X ℗

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither.
X =
f(x) =
-2
neither
Is f continuous from the right, left, or neither at this value?
continuous from the right
continuous from the left
Sketch the graph of f.
y
10
8
2
-2
-4
-6
-8
- 10
y
10
8
6
5x
6 - X
+
2
X
if x ≤ 1
if 1 < x ≤ 7
if x > 7
2
4
8
10
X
-2
y
10
8
I
6
4
2
-2
-4
CO
8
- 10
y
10
8
4
2
4
8
10
X
Transcribed Image Text:Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. X = f(x) = -2 neither Is f continuous from the right, left, or neither at this value? continuous from the right continuous from the left Sketch the graph of f. y 10 8 2 -2 -4 -6 -8 - 10 y 10 8 6 5x 6 - X + 2 X if x ≤ 1 if 1 < x ≤ 7 if x > 7 2 4 8 10 X -2 y 10 8 I 6 4 2 -2 -4 CO 8 - 10 y 10 8 4 2 4 8 10 X
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