with derivatives f' (x) = 10(1 – 2x)e-2* = 40(x – 1)e¯2*. Determine all the following for the function. Consider f (x) = 10xe-2x and f" (x) Show all your work. a) Domain b) Intercepts c) Asymptotes and end behaviour

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
-2x
with derivatives f" (x)
10(1 – 2x)e-2
40(x – 1)e¯2*, Determine all the following for the function.
-2x
Consider f (x)
= 10xe
and f" (x)
Show all your work.
a) Domain
b) Intercepts
c) Asymptotes and end behaviour
d) Intervals of increase and decrease (chart form)
e) Local minimum or maximum points.
f) Intervals of concavity (chart form)
g) Sketch the graph on your paper. Label all relevant points and asymptotes
Blank # 1
Blank # 2
Blank # 3
Blank # 4
Blank # 5
Blank # 6
Transcribed Image Text:-2x with derivatives f" (x) 10(1 – 2x)e-2 40(x – 1)e¯2*, Determine all the following for the function. -2x Consider f (x) = 10xe and f" (x) Show all your work. a) Domain b) Intercepts c) Asymptotes and end behaviour d) Intervals of increase and decrease (chart form) e) Local minimum or maximum points. f) Intervals of concavity (chart form) g) Sketch the graph on your paper. Label all relevant points and asymptotes Blank # 1 Blank # 2 Blank # 3 Blank # 4 Blank # 5 Blank # 6
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