In Exercises 39-44, use Theorem 1.16 and left and right lim- its to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity. х — 3, ifx < 3 39. f(x) = {-(x – 3), if x > 3 х — 3, ifx < 0 40. f(x) = {-(x – 3), if x > 0 x2, if x < 2 41. f(x) = - 4, if x = 2 2r + 1, if x > 2 V=x, if x < 0 2, if x = 0 Vĩ, if x > 0 42. f(x) = x+ 1, if x < 1 43. f(x) = {3x – 1, if 1 2 x³, if x < 0 1-x, if 0 < x < 3 x – 5, if x > 3 44. f(x) :

Calculus: Early Transcendentals
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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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In Exercises 39-44, use Theorem 1.16 and left and right lim-
its to determine whether each function f is continuous at its
break point(s). For each discontinuity of f, describe the type
of discontinuity and any one-sided discontinuity.
х — 3, ifx < 3
39. f(x) = {-(x – 3), if x > 3
х — 3, ifx < 0
40. f(x) = {-(x – 3), if x > 0
x2, if x < 2
41. f(x) = -
4, if x = 2
2r + 1, if x > 2
V=x, if x < 0
2, if x = 0
Vĩ, if x > 0
42. f(x) =
x+ 1, if x < 1
43. f(x) = {3x – 1, if 1 <x < 2
x+2, if x > 2
x³, if x < 0
1-x, if 0 < x < 3
x – 5, if x > 3
44. f(x) :
Transcribed Image Text:In Exercises 39-44, use Theorem 1.16 and left and right lim- its to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity. х — 3, ifx < 3 39. f(x) = {-(x – 3), if x > 3 х — 3, ifx < 0 40. f(x) = {-(x – 3), if x > 0 x2, if x < 2 41. f(x) = - 4, if x = 2 2r + 1, if x > 2 V=x, if x < 0 2, if x = 0 Vĩ, if x > 0 42. f(x) = x+ 1, if x < 1 43. f(x) = {3x – 1, if 1 <x < 2 x+2, if x > 2 x³, if x < 0 1-x, if 0 < x < 3 x – 5, if x > 3 44. f(x) :
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