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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Question

Consider f (x)
10xe-2x
with derivatives f'(x)
10(1 – 2x)e-2*
%D
and f" (x)
40(x – 1)e-*. Determine all the following for the function.
Show all your work.
a) Domain (1 mark)
b) Intercepts (1 marks)
c) Asymptotes and end behaviour (2 marks)
d) Intervals of increase and decrease (chart form) (2 marks)
e) Local minimum or maximum points (1 mark)
f) Intervals of concavity (chart form) (2 marks)
g) Sketch the graph on your paper. Label all relevant points and asymptotes (1 mark)
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