3(x+2)+2 for 3< x < −2 (x+2)+1 for 2x < −1 f(x) = (x+2)+1 for 1 1 Use the given formula to answer the following questions. (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (b) For each of the values a = −2, −1, 0, 1, 2, determine lima¯f(x) and limx→>a+f(x). (c) For each of the values a = -2, -1, 0, 1, 2, determine lima f(x). If the limit fails to exist, explain why by discussing the left- and right-hand limits the relevant a-value. (d) For which values of a is the following statement true? lim f(x) f(a) x-a

3(x+2)+2 for 3< x < −2 (x+2)+1 for 2x < −1 f(x) = (x+2)+1 for 1 1 Use the given formula to answer the following questions. (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (b) For each of the values a = −2, −1, 0, 1, 2, determine lima¯f(x) and limx→>a+f(x). (c) For each of the values a = -2, -1, 0, 1, 2, determine lima f(x). If the limit fails to exist, explain why by discussing the left- and right-hand limits the relevant a-value. (d) For which values of a is the following statement true? lim f(x) f(a) x-a

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...

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