Exercise 10Consider the function f that is defined over R - {-1} as: ƒ (x ) =x²- 2x +1Designate by (C) its representative curve in an orthonormal system.1. Calculate limf (x ).Deduce an asymptote to the curve (C).2. Calculate lim f (x) and lim f (x ). Deduce an asymptote to (C)3. Calculate f'(x), then set up the table of variations of f.4. Write an equation of the tangent (T) to the curve (C) at a point with abscissa 2.5. Draw (d) and (C).

1) limx→1x2x2-2x+1=limx→1x2(x-1)2=∞ Therefore, x=1 is the verticle asymptotes. 2)…

Consider the function f that is defined over R - {-1} as: ƒ (x )=- x²-2x +1° Designate by (C) its representative curve in an orthonormal system. 1. Calculate limf (x).Deduce an asymptote to the curve (C). 2. Calculate lim ƒ (x ) and limf (x ). Deduce an asymptote to (C) 3. Calculate f'(x), then set up the table of variations of f.

Consider the function f that is defined over R - {-1} as: ƒ (x )=- x²-2x +1° Designate by (C) its representative curve in an orthonormal system. 1. Calculate limf (x).Deduce an asymptote to the curve (C). 2. Calculate lim ƒ (x ) and limf (x ). Deduce an asymptote to (C) 3. Calculate f'(x), then set up the table of variations of f.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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