23-24 How would you "remove the discontinuity" of f? In other words, how would you define f(2) in order to make f continuous at 2? 23. f(x) = x²-x-2 x-2 24. f(x) - x³-8 -4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Question 24
us only
of a toll
I and
5 $7.
mea-
their
inuous.
ion
of the
dis-
e
as a
Jelupis
그
20. f(x)=
21. f(x) =
22. f(x) =
COS X
0
2 - X
6
31. M(x) =
r²
- x'
2x²-5x - 3
x - 3
if x # 1
if x = 1
if x < 0
if x = 0
if x > 0
ods le no: 3√x-2
27. Q(x) =
=
-2
2x² - x - 1
x² + 1
23-24 How would you "remove the discontinuity" of f?
In other words, how would you define f(2) in order to make
f continuous at 2?
x²-x-2
23. f(x)
x-2
29. h(x) = cos(1 − x²)
+
if x # 3
if x = 3
24. f(x)
a = 1
25-32 Explain, using Theorems 4, 5, 7, and 9, why the function
is continuous at every number in its domain. State the domain.
omsini sdi
25. F(x)=
a=0
26. G(x)
28. h(x)
a=3
-
x³
30. B(x) =
8
x² + 1
2x²-x-1
sin x
x+1
tan x
√4-x²
32. F(x) = sin(cos(sin ))
41
of
or
4
Transcribed Image Text:us only of a toll I and 5 $7. mea- their inuous. ion of the dis- e as a Jelupis 그 20. f(x)= 21. f(x) = 22. f(x) = COS X 0 2 - X 6 31. M(x) = r² - x' 2x²-5x - 3 x - 3 if x # 1 if x = 1 if x < 0 if x = 0 if x > 0 ods le no: 3√x-2 27. Q(x) = = -2 2x² - x - 1 x² + 1 23-24 How would you "remove the discontinuity" of f? In other words, how would you define f(2) in order to make f continuous at 2? x²-x-2 23. f(x) x-2 29. h(x) = cos(1 − x²) + if x # 3 if x = 3 24. f(x) a = 1 25-32 Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. omsini sdi 25. F(x)= a=0 26. G(x) 28. h(x) a=3 - x³ 30. B(x) = 8 x² + 1 2x²-x-1 sin x x+1 tan x √4-x² 32. F(x) = sin(cos(sin )) 41 of or 4
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