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574Chapter 10Functions and Their Graphs34.- 31.33.32.(-3, 3)(3,3)In Prapprwher(0, 3) (4,2)(-4, 2)(0, 2)(0, 1)-4 (-2,0)(2,0)(-1, 0) (1,0)-3(1,0)6971.38.37.35.A Y36.A y73.(-3, 2)(-1, 2)(0,3) (3, 1)(1)2(-2, 1)75.(2.2)(0,1)(-2.3,0)X77X-3-2 -1-3,0) (1,-1) (2, -1)-1(--1)(-3,-2)(T,-1)(-t,-1)-3-2-2In Problems 39-42, the graph of a function fis given. Use the graph to find:(a) The numbers, if any, at which fhas a local maximum. What are these local maxima(b) The numbers, if any, at which fhas a local minimum. What are these local minima42.39.41.40.A yA Y2143(0, 3)(0, 2)Xx-4 (-2, 0)(2,0)TC-3(-1,0) (1,0)43-TC-TC2(-5-1)(r,-1)T,-1)-2-243. Find the average rate of change of f(x) = -2x + 444. Find the average rate of change of f(x) = -(a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4(b) from 1 to 3(a) from 0 to 2(c) from -1 to 1In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x:f(x)-f(1)x 1x-1(b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify.(c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)).45. f(x) = 5x46. f(x) 4x47. f(x) 1 3x48. f(x) = +149. f(x) x2- 2x50. f(x) x - 2x251. f(x) x- x52. f(x) = x +x253. f(x)154. f(x) =x + 155. f(x) xx2Problems 57-68, determine algebraically whether each function is even, odd, or neither.56. f(x) = \x + 357. f(x) = 4x358. f(x) 2x4 - x59. g(x)61. F(x) = Vx=- 3x2- 560. h(x) = 3x +562. G(x)= Vx63. f(x) x+165. g(x)x264. f(x) = 2x +166. h(x)x2xx33x2-967. h(x)12x268. F(x)11x3 + 1

Question

Do not know how to do question 50 on this page in the book, plz show steps too

574
Chapter 10
Functions and Their Graphs
34.
- 31.
33.
32.
(-3, 3)
(3,3)
In Pr
appr
wher
(0, 3) (4,2)
(-4, 2)
(0, 2)
(0, 1)
-4 (-2,0)
(2,0)
(-1, 0) (1,0)
-3
(1,0)
69
71.
38.
37.
35.
A Y
36.
A y
73.
(-3, 2)
(-1, 2)
(0,3) (3, 1)
(1)
2
(-2, 1)
75.
(2.2)
(0,1)
(-2.3,0)
X
77
X
-3-2 -1
-3
,0) (1,-1) (2, -1)
-1
(--1)
(-3,-2)
(T,-1)
(-t,-1)
-3
-2
-2
In Problems 39-42, the graph of a function fis given. Use the graph to find:
(a) The numbers, if any, at which fhas a local maximum. What are these local maxima
(b) The numbers, if any, at which fhas a local minimum. What are these local minima
42.
39.
41.
40.
A y
A Y
21
4
3
(0, 3)
(0, 2)
Xx
-4 (-2, 0)
(2,0)
TC
-3
(-1,0) (1,0)
4
3
-TC
-TC
2
(-5-1)
(r,-1)
T,-1)
-2
-2
43. Find the average rate of change of f(x) = -2x + 4
44. Find the average rate of change of f(x) = -
(a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4
(b) from 1 to 3
(a) from 0 to 2
(c) from -1 to 1
In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x:
f(x)-f(1)
x 1
x-1
(b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify.
(c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)).
45. f(x) = 5x
46. f(x) 4x
47. f(x) 1 3x
48. f(x) = +1
49. f(x) x2- 2x
50. f(x) x - 2x2
51. f(x) x- x
52. f(x) = x +x
2
53. f(x)
1
54. f(x) =
x + 1
55. f(x) x
x2
Problems 57-68, determine algebraically whether each function is even, odd, or neither.
56. f(x) = \x + 3
57. f(x) = 4x3
58. f(x) 2x4 - x
59. g(x)
61. F(x) = Vx
=
- 3x2- 5
60. h(x) = 3x +5
62. G(x)
= Vx
63. f(x) x+
1
65. g(x)
x2
64. f(x) = 2x +1
66. h(x)
x2
x
x3
3x2-9
67. h(x)
1
2x2
68. F(x)
11
x3 + 1
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574 Chapter 10 Functions and Their Graphs 34. - 31. 33. 32. (-3, 3) (3,3) In Pr appr wher (0, 3) (4,2) (-4, 2) (0, 2) (0, 1) -4 (-2,0) (2,0) (-1, 0) (1,0) -3 (1,0) 69 71. 38. 37. 35. A Y 36. A y 73. (-3, 2) (-1, 2) (0,3) (3, 1) (1) 2 (-2, 1) 75. (2.2) (0,1) (-2.3,0) X 77 X -3-2 -1 -3 ,0) (1,-1) (2, -1) -1 (--1) (-3,-2) (T,-1) (-t,-1) -3 -2 -2 In Problems 39-42, the graph of a function fis given. Use the graph to find: (a) The numbers, if any, at which fhas a local maximum. What are these local maxima (b) The numbers, if any, at which fhas a local minimum. What are these local minima 42. 39. 41. 40. A y A Y 21 4 3 (0, 3) (0, 2) Xx -4 (-2, 0) (2,0) TC -3 (-1,0) (1,0) 4 3 -TC -TC 2 (-5-1) (r,-1) T,-1) -2 -2 43. Find the average rate of change of f(x) = -2x + 4 44. Find the average rate of change of f(x) = - (a) from 0 to 2 (b) from 1 to 3 (c) from 1 to 4 (b) from 1 to 3 (a) from 0 to 2 (c) from -1 to 1 In Problems 45-56, (a) for each function find the average rate of change of f from 1 to x: f(x)-f(1) x 1 x-1 (b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify. (c) Find an equation of the secant line containing (1, f(1)) and (2, f(2)). 45. f(x) = 5x 46. f(x) 4x 47. f(x) 1 3x 48. f(x) = +1 49. f(x) x2- 2x 50. f(x) x - 2x2 51. f(x) x- x 52. f(x) = x +x 2 53. f(x) 1 54. f(x) = x + 1 55. f(x) x x2 Problems 57-68, determine algebraically whether each function is even, odd, or neither. 56. f(x) = \x + 3 57. f(x) = 4x3 58. f(x) 2x4 - x 59. g(x) 61. F(x) = Vx = - 3x2- 5 60. h(x) = 3x +5 62. G(x) = Vx 63. f(x) x+ 1 65. g(x) x2 64. f(x) = 2x +1 66. h(x) x2 x x3 3x2-9 67. h(x) 1 2x2 68. F(x) 11 x3 + 1

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check_circleAnswer
Step 1

Given:

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Step 2

Concept used:

Average rate of change off on interval [a,b] is: J(b)-f(a)
b-a
The equation of secant line with two points
(a,f (a)) and (b,f(b)) is: ymx+b
where m is slope and b is y-intercept
help_outline

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Average rate of change off on interval [a,b] is: J(b)-f(a) b-a The equation of secant line with two points (a,f (a)) and (b,f(b)) is: ymx+b where m is slope and b is y-intercept

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Step 3

Part(a):...

f(l)1-2(1)1-2=-1
The average rate of change of f from 1 to x is: J(x)-f(1)
So,
f(x)-f()_(x-2x)-(-1)
х —1
х —1
f(x)-f() x-2x2 +1
х —1
х —1
help_outline

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f(l)1-2(1)1-2=-1 The average rate of change of f from 1 to x is: J(x)-f(1) So, f(x)-f()_(x-2x)-(-1) х —1 х —1 f(x)-f() x-2x2 +1 х —1 х —1

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