Answered: a- Calculate limf (x) and lim f (x ).…

a- Calculate limf (x) and lim f (x ). b- Solve the equation f (x) = 0 and then calculatef (0). c- Calculate f'(x) and then Study the variations of the functionf.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 51E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Exercise 2
Let fbe a function defined over R as: f (x) =-x'+ 2x? –x + 2.
a- Calculate lim ƒ (x) and lim f (x ).
b- Solve the equation f (x) = 0 and then calculate f (0).
c- Calculate f'(x) and then Study the variations of the function f.
d- Set up its table of variations.
e- Represent graphically the function f in an orthonormal system.

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