24. A floor-refinishing company charges $1.83 per square foot to strip and refinish a tile floor for up to 1000 square feet. There is an additional charge of $350 for toxic waste disposal for any job that includes more than 150 square feet of tile. (a) Express the cost, y, of refinishing a floor as a func- tion of the number of square feet, x, to be refin- ished. (b) Graph the function. Give the domain and range.
24. A floor-refinishing company charges $1.83 per square foot to strip and refinish a tile floor for up to 1000 square feet. There is an additional charge of $350 for toxic waste disposal for any job that includes more than 150 square feet of tile. (a) Express the cost, y, of refinishing a floor as a func- tion of the number of square feet, x, to be refin- ished. (b) Graph the function. Give the domain and range.
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...
Related questions
Topic Video
Question
Please help with the highlighted question under my hand.
And in the second photo please help with number 24.
![38. J(U)
39) fx) =
x + 5
x - 7
40. f(x)
37. flx) = x'+ x
+
lerl =
= V2 - x
42. f(x) = Vx² + x + 1
4
43. f(x) =
44. f(x) =
x) =
41. flx) = VT- 2r
x + 1
1
46.) f(x) =
2x
47. f(x) = \x|
48. f(x) = 2x
45. f(x) = x³
easing, or constant.
50. f(x) = 9 - x?
51. f(x) = |5 – 2x|
49. f(x) = 1 - 2r
52. f(x) = V - 1
x < -1
|-1
1 x< -1
* x2 -1
54. f(x) =
55. f(x) =
x2 -1
x< 0
57. f(x) =
S-x
58. f(x) =
x² x>0
x>0
(2 + x x< -1
(5 - 2x x < 2
60. f(x) =
61. f(x) =
x > -1
3x- 2
x> 2
-2
-1
x< - 1
-1
x< -1
63. G(x) = {x
-1 <x< 3
64. G(x) = {x
3
-1 <x<3
3
x> 3
x> 3
1 t<1
G) = { 1sI<2
-x -1 x< -2
-2 <x<1
t< 1
66. G(t) = {? 1<t<2
67. f(x) = {x + 1
4 t> 2
t> 2
(-x+1 x2 1
(3,0)
5.
-x - 1
68. f(x) = {x + 1
x< - 2
So
V x 0
x<1
x< 0
-2 < x< 1
69. G(x)
70. G(x) =
x>1
x> 1
(-Vx xs-1
71. G(x) =
0 x=0
fo
x = 0
73. G(x) = {x
-1<x<1
intervals where the is or constant.
In 53–78, graph the State the domain and range in notation. the
72. G(x)
l-V *>1
1
In Exercises 45-52, find the of of the from x = 1 to x = 3.
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41cea5f8-d9ac-4287-9348-8fd9838f78f6%2Fb849ec03-24f7-4ef4-94a4-f39a20335712%2Fybjljxi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:38. J(U)
39) fx) =
x + 5
x - 7
40. f(x)
37. flx) = x'+ x
+
lerl =
= V2 - x
42. f(x) = Vx² + x + 1
4
43. f(x) =
44. f(x) =
x) =
41. flx) = VT- 2r
x + 1
1
46.) f(x) =
2x
47. f(x) = \x|
48. f(x) = 2x
45. f(x) = x³
easing, or constant.
50. f(x) = 9 - x?
51. f(x) = |5 – 2x|
49. f(x) = 1 - 2r
52. f(x) = V - 1
x < -1
|-1
1 x< -1
* x2 -1
54. f(x) =
55. f(x) =
x2 -1
x< 0
57. f(x) =
S-x
58. f(x) =
x² x>0
x>0
(2 + x x< -1
(5 - 2x x < 2
60. f(x) =
61. f(x) =
x > -1
3x- 2
x> 2
-2
-1
x< - 1
-1
x< -1
63. G(x) = {x
-1 <x< 3
64. G(x) = {x
3
-1 <x<3
3
x> 3
x> 3
1 t<1
G) = { 1sI<2
-x -1 x< -2
-2 <x<1
t< 1
66. G(t) = {? 1<t<2
67. f(x) = {x + 1
4 t> 2
t> 2
(-x+1 x2 1
(3,0)
5.
-x - 1
68. f(x) = {x + 1
x< - 2
So
V x 0
x<1
x< 0
-2 < x< 1
69. G(x)
70. G(x) =
x>1
x> 1
(-Vx xs-1
71. G(x) =
0 x=0
fo
x = 0
73. G(x) = {x
-1<x<1
intervals where the is or constant.
In 53–78, graph the State the domain and range in notation. the
72. G(x)
l-V *>1
1
In Exercises 45-52, find the of of the from x = 1 to x = 3.
1
![Wise function that is defined by y = x2 for negative val-
ues of x and by y = x- 1 for x values that are greater
than or equal to zero.
a-
%3D
24. A floor-refinishing company charges $1.83 per square
foot to strip and refinish a tile floor for up to 1000 square
feet. There is an additional charge of $350 for toxic
waste disposal for any job that includes more than 150
square feet of tile.
ie
(a) Express the cost, y, of refinishing a floor as a func-
tion of the number of square feet, x, to be refin-
ished.
5,
(b) Graph the function. Give the domain and range.
h
25. The charge for a taxi ride in New York City is $2.50
upon entry and $0.50 for each 1/5 of a mile traveled
(rounded up to the nearest 1/5 mile), when the taxicab
traveling at 6 mph or more. In addition, a New York
11
State Tax Surcharge of $0.50 is added to the fare.
(a) Make a table showing the cost of a trip as a func-
tion of its length. Your table should start at zero
and go up to two miles in 1/5-mile intervals.
(b) What is the cost for a 1.2-mile trip?
(c) How far can you go for $7.00?
(d) Graph the cost function in part (a).
as
cab_rate.shtml, accessed April 22, 2017.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41cea5f8-d9ac-4287-9348-8fd9838f78f6%2Fb849ec03-24f7-4ef4-94a4-f39a20335712%2Fvhyfbao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Wise function that is defined by y = x2 for negative val-
ues of x and by y = x- 1 for x values that are greater
than or equal to zero.
a-
%3D
24. A floor-refinishing company charges $1.83 per square
foot to strip and refinish a tile floor for up to 1000 square
feet. There is an additional charge of $350 for toxic
waste disposal for any job that includes more than 150
square feet of tile.
ie
(a) Express the cost, y, of refinishing a floor as a func-
tion of the number of square feet, x, to be refin-
ished.
5,
(b) Graph the function. Give the domain and range.
h
25. The charge for a taxi ride in New York City is $2.50
upon entry and $0.50 for each 1/5 of a mile traveled
(rounded up to the nearest 1/5 mile), when the taxicab
traveling at 6 mph or more. In addition, a New York
11
State Tax Surcharge of $0.50 is added to the fare.
(a) Make a table showing the cost of a trip as a func-
tion of its length. Your table should start at zero
and go up to two miles in 1/5-mile intervals.
(b) What is the cost for a 1.2-mile trip?
(c) How far can you go for $7.00?
(d) Graph the cost function in part (a).
as
cab_rate.shtml, accessed April 22, 2017.
Expert Solution
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Step 1
Given:
Charges for upto 1000 square feet is $1.83.
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