3. The function f(x) satisfies the following. Draw the graph on the axis provided. Include asymptotes as dashed lines, Removable singularities (holes): x = -10 X-intercepts (zeros): x = 3 and x = 7 Horizontal asymptote: None Oblique asymptote: y 2x- 3 Vertical asymptotes: x 1 and x = 6 f(x)→-0 as x 1- f(x) - - 00 as x 1t f(x) +0 as x 6 f(x) -0 as x6+ 30 25 20 15 10 10 15

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. The functionf (x) satisfies the following. Draw the graph on the axis provided. Include
asymptotes as dashed lines.
Removable singularities (holes): x = -10
X-intercepts (zeros): x = 3 and x = 7
%3D
Horizontal asymptote: None
Oblique asymptote: y = 2x - 3
Vertical asymptotes: x = 1 and x = 6
f(x) → -00 as x 1-
f(x) → -00 as x 1+
f(x) → +0 as x → 6
f(x) → -00 as x 6*
30
25
20
15
10
-10
-5
10
15
-10
-15
-20
%24
%24
Transcribed Image Text:3. The functionf (x) satisfies the following. Draw the graph on the axis provided. Include asymptotes as dashed lines. Removable singularities (holes): x = -10 X-intercepts (zeros): x = 3 and x = 7 %3D Horizontal asymptote: None Oblique asymptote: y = 2x - 3 Vertical asymptotes: x = 1 and x = 6 f(x) → -00 as x 1- f(x) → -00 as x 1+ f(x) → +0 as x → 6 f(x) → -00 as x 6* 30 25 20 15 10 -10 -5 10 15 -10 -15 -20 %24 %24
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