In Problems 17-34, find all points of discontinuity. 18. h(x) — х -2 17. f(x) = 3x2 - 3 3. 19. f(x) = x2 + 5x- 2 20. f(x) = x+4 x2 -9 (2x2 - 3)3 21. g(x) = 22. f(x) = -1 15 x2 +6x + 9 x2 + 2x-15 X - 3 x3 - 9x X - 3 x2 + x 23. f(x) = 24. g(x)% = 2х-3 25. h(x) = 26. f(x) = %3D 3 - 2х 27. p(x) = 28. f(x) = x² + 1 x4 1 1 29. f(x) = if x 2 0 if x < 0 if 3x+5 if -1 30. f(x) = 0 ifx <1 if x > 1 31. f(x) = 32. f(x) = X-3 if X-1

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...
Question

19 and 31

O Limy-o
482
Chapter 10 Limits and Continuity
16. f(x) = x(1-x)
In Problems 17-34, find all points of discontinuity.
17. f(x) = 3x2 - 3
18. h(x) = x- 2
x²+5x-2
20. f(x) =
= (x)f
(2x² - 3)3
3.
22. f(x) = -1
x -3
21. g(x)
15
23. f(x) =
24. g(x) =
x² + 2x - 15
2x - 3
-
25. h(x) =
26. f(x)
3 - 2x
= (x)ƒ '8
xA – 1
= (x)d •L7
if x > -2
2.
if x < -2
if x 2 0
|3x +5
30. f(x) :
0 > x !
0.
0ifx <1
if x > 1
||
= (x)f *67
31. f(x) = {x
32. f(x) =
x-3 ifx > 2
|3-2x
if x < 2
91-
if x 2
x²
x2+1 ifx > 2
= (x)/
33. f(x)
||
8x if x < 2
%D
= (x)f
3x-2
35. Telephone Rates Suppose the long-distance rate for a
telephone call from Hazleton, Pennsylvania to Los Angeles,
Objective
10.4 Continiuit
To develop techniques for sol
nonlinear ing
Transcribed Image Text:O Limy-o 482 Chapter 10 Limits and Continuity 16. f(x) = x(1-x) In Problems 17-34, find all points of discontinuity. 17. f(x) = 3x2 - 3 18. h(x) = x- 2 x²+5x-2 20. f(x) = = (x)f (2x² - 3)3 3. 22. f(x) = -1 x -3 21. g(x) 15 23. f(x) = 24. g(x) = x² + 2x - 15 2x - 3 - 25. h(x) = 26. f(x) 3 - 2x = (x)ƒ '8 xA – 1 = (x)d •L7 if x > -2 2. if x < -2 if x 2 0 |3x +5 30. f(x) : 0 > x ! 0. 0ifx <1 if x > 1 || = (x)f *67 31. f(x) = {x 32. f(x) = x-3 ifx > 2 |3-2x if x < 2 91- if x 2 x² x2+1 ifx > 2 = (x)/ 33. f(x) || 8x if x < 2 %D = (x)f 3x-2 35. Telephone Rates Suppose the long-distance rate for a telephone call from Hazleton, Pennsylvania to Los Angeles, Objective 10.4 Continiuit To develop techniques for sol nonlinear ing
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