Please help with the ones circled in pencil + x + 1443. f(x) =In Exercises 45-52, find the average rate of change of the function from x = 1 to x = 3.44. f(x) =Vxx + 145. f(x) = x46.) f(x) = -47. f(x) = \x|49. f(x) = 1- 2r48. f(x) = 2x50. f(x) = 9 -x²51. f(x) = 15- 2x52. f(x) = V - 1In Exercises 53-78, graph the piecewise-defined functions. State the domain and range in interval notation. Determine theintervals where the function is increasing, decreasing, or constant.x<2f(x) =1254. f(x) =-1X < -1x< -155. f(x) =*< 256. f(x) =14Jx57. f(x) :x< 01-x x5058. f(x) =x>0|-x + 2f(x) =(2 + x5 - 2x x< 23x-260. f(x) =61. f(x) =x > -1x>23 - -x2*x < -2-1 x< - 1-1 x<-162. f(x) =63. G(x) =34+64. G(x) = {x3-1 sxS 3-1 -2x > 3x> 3t< 1t<1-x -1 x<-2G(1) =1sts266. G(t) = {? 12-2 2(-x -1 xS - 2-2 168. f(x) = {x + 1-x + 169. G(x) =Vx x20x> 1(-V IS-1x = 00.71. G(x) =x = 073. G(x) = {x-1

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Description: Please help with the ones circled in pencil + x + 1443. f(x) =In Exercises 45-52, find the average rate of change of the function from x = 1 to x = 3.44. f(x) =Vxx + 145. f(x) = x46.) f(x) = -47. f(x) = \x|49. f(x) = 1- 2r48. f(x) = 2x50. f(x) = 9 -x

Answered: Re) = |5 - 21| 52. flx) = V- 1 %3D In…

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

Section3.4: Definition Of The Derivative

Problem 50E

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Please help with the ones circled in pencil

+ x + 1
4
43. f(x) =
In Exercises 45-52, find the average rate of change of the function from x = 1 to x = 3.
44. f(x) =
Vx
x + 1
45. f(x) = x
46.) f(x) = -
47. f(x) = \x|
49. f(x) = 1- 2r
48. f(x) = 2x
50. f(x) = 9 -x²
51. f(x) = 15- 2x
52. f(x) = V - 1
In Exercises 53-78, graph the piecewise-defined functions. State the domain and range in interval notation. Determine the
intervals where the function is increasing, decreasing, or constant.
x<2
f(x) =
12
54. f(x) =-1
X < -1
x< -1
55. f(x) =
*< 2
56. f(x) =
14
Jx
57. f(x) :
x< 0
1-x x50
58. f(x) =
x>0
|-x + 2
f(x) =
(2 + x
5 - 2x x< 2
3x-2
60. f(x) =
61. f(x) =
x > -1
x>2
3 - -x
2*
x < -2
-1 x< - 1
-1 x<-1
62. f(x) =
63. G(x) =
3
4+
64. G(x) = {x
3
-1 sxS 3
-1<x<3
x> -2
x > 3
x> 3
t< 1
t<1
-x -1 x<-2
G(1) =
1sts2
66. G(t) = {? 1<t<2
4 t>2
-2 <x<1
-x +1 x2 1
67. f(x) = {x + 1
t> 2
(-x -1 xS - 2
-2 <x<1
x<0
70. G(x) = V x> 1
68. f(x) = {x + 1
-x + 1
69. G(x) =
Vx x20
x> 1
(-V IS-1
x = 0
0.
71. G(x) =
x = 0
73. G(x) = {x
-1<x<1
72. G(x) =
1
x + 0
97

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The given piece-wise function is,

$f (x) = \{\begin{cases} x^{2} x < 2 \\ 4 x \geq 2 \end{cases}$

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