Consider the following function :f(x)= (x2 - 3x +2)/(x2-1)a) Find the limit of the function as x approaches -1, if it exists.b) Find the limit of the function as x approaches +1, if it exists.c) State whether the function is continuous over its domain. If it is not, name the values of x for which it is not continuous.d) Use the quotient formula to determine the derivative of the function.e) Can the function be simplified ? If so, simplify the function.f) Graph the function. Show accurately any x and y intercepts and any asymptotes.

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 36E

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Consider the following function :

f(x)= (x²- 3x +2)/(x²-1)

a) Find the limit of the function as x approaches -1, if it exists.
b) Find the limit of the function as x approaches +1, if it exists.
c) State whether the function is continuous over its domain. If it is not, name the values of x for which it is not continuous.
d) Use the quotient formula to determine the derivative of the function.
e) Can the function be simplified ? If so, simplify the function.
f) Graph the function. Show accurately any x and y intercepts and any asymptotes.

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