Sketch the graph of f with emphasis on the concavity. Label the following with their coordinates:intercept pointsrelative extremum pointsinflection points, and;holesShow the asymptotes of the graph of f and label them with their respective equations. (x+ 3)31211++16Xf(x)+(х — 1)2 4-4(х — 1)2 (х — 1) " 4(x+ 3)²(x – 9)-24(x+3)|f'(x) =f"(x) =4(x – 1)3(х — 1)4-|

a) Intercept points: x-intercept: where y=0 , f(x)=0 ⇒12x-1+114+16(x-1)2+x4=0⇒…

Answered: (x + 3)3 11 + + 4(х — 1)2 (х — 1) ' 4…

Math

Calculus

(x + 3)3 11 + + 4(х — 1)2 (х — 1) ' 4 (х— 1)2 " 4 12 16 X f(x) = + - ||

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 44E

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Question

Sketch the graph of f with emphasis on the concavity. Label the following with their coordinates:

intercept points
relative extremum points
inflection points, and;
holes

Show the asymptotes of the graph of f and label them with their respective equations.

(x+ 3)3
12
11
+
+
16
X
f(x)
+
(х — 1)2 4
-
4(х — 1)2 (х — 1) " 4
(x+ 3)²(x – 9)
-
24(x+3)
|
f'(x) =
f"(x) =
4(x – 1)3
(х — 1)4
-
|

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