horizontal tangent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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ame:
6. Explain why the curve f(x) = x' +x° + x³ + x +1 is always rising.
7. Let f(x) = x³ +3x- 2.
a In view of the fact that f(0) = -2 and f (1) = 2, why would you expect the
equation r +3x-2 0 to have at least one real root?
b explain why the graph of f has no horizontal tangent.
c Why would you suppose it follows from part (b) that the equation r+3x-2 0
has no more than one real root?
MTH 1
Transcribed Image Text:ame: 6. Explain why the curve f(x) = x' +x° + x³ + x +1 is always rising. 7. Let f(x) = x³ +3x- 2. a In view of the fact that f(0) = -2 and f (1) = 2, why would you expect the equation r +3x-2 0 to have at least one real root? b explain why the graph of f has no horizontal tangent. c Why would you suppose it follows from part (b) that the equation r+3x-2 0 has no more than one real root? MTH 1
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