Exercise 8x²-x +1Consider the function f that is defined over R - {1} as: f (x )=x -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 limf (x ).3. Show that the straight line (d) of equation y=x is an asymptote to (C).4. Calculate f'(x), then set up the table of variations of f.5. Prove that I (1;1) is a center of symmetry for the curve (C).6. Draw (d) and (C).

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Exercise 8 Consider the function f that is defined over R - {1} as: f (x )=² =*+1. x -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 lim f (x ). 3. Show that the straight line (d) of equation y = x is an asymptote to (C). 4. Calculate f'(x), then set up the table of variations of f. 5. Prove that I (1;1) is a center of symmetry for the curve (C). 6. Draw (d) and (C).

Exercise 8 Consider the function f that is defined over R - {1} as: f (x )=² =*+1. x -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 lim f (x ). 3. Show that the straight line (d) of equation y = x is an asymptote to (C). 4. Calculate f'(x), then set up the table of variations of f. 5. Prove that I (1;1) is a center of symmetry for the curve (C). 6. Draw (d) and (C).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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