In Exercises 51-54, calculate the difference quotient (x+h)-f(x) 51. f(x)=2x-4 53. f(x)=x²-1 52. f(x)=-3x+1 54. f(x) = -2x²

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I need help with number 51, please.

XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X
← → C ✰ xyztextbooks.com/ebook/title/reva_ca
E CONTENTS
85°F
Sunny
CATALOG
35. f(x)= |x-1|
37. f(x) = (x² + 1)(x − 1)
+
SECTION: 2.6
36. f(x)=x52x
38. f(x) = (x² - 3)(x² - 4)
In Exercises 39-50, find the average rate of change of each function on the given interval.
39. f(x) = 2x² + 5, interval: [-2, -1]
1, interval: [2, 3]
41.
f(x) = x³ + 1, interval: [0, 2]
40. f(x) = 3x²
42. f(x) =
44. f(x) =
2x³, interval: [-2, 0]
3x³ + x² + 4, interval: [-2,0]
43. f(x) = 2x² + 3x − 1, interval: [−2, −1]
45. f(x) = -x + 6x² - 1, interval: [1, 2]
47. f(x) = 2x + 4, interval: [3, 5]
4x³ - 3x² - 1, interval: [0, 2]
46. f(x) =
48. f(x) = |x|5, interval: [-4, -2]
49. f(x)=√x, interval: [-4, -3]
In Exercises 51-54, calculate the difference quotient
51. f(x) = 2x - 4
53. f(x)=x²-1
PAGE 183
50. f(x)=√x + 3, interval: [2, 4]
f(x +h)-f(x)
h
52. f(x)=-3x + 1
54. f(x)=2x²
In Exercises 55-60, use a graphing utility to decide if the function is odd, even, or neither.
55. f(x)=x² - 4x + 1
56. f(x)=2x² + 2x + 3
57. f(x) = 2x³ – x
58. f(x) = (x + 1)(x − 2)(x + 3)
60. f(x) = -x + 4x²
59. f(x)=x45x² +4
Applications
100
61. Demand Function The demand for a product, in thousands of units, is given by d(x) =
where x is the price of the product. Is this an increasing or a decreasing function? Explain.
62. Revenue The revenue for a company is given by R(x) = 30x, where x is the number of units
cold in thousands. Is thic an incrossing or a decreasing function? Enlain
23
H
a
Example 1
VIDEOS
Math
TV.com
P
| | _ :.- _ +l._ J.£.. !^: _
BOOKSHELF
2022-10-05 (11).png - Photos
SUPPLEMENTS
Click an instructor below
to start video playback.
PROGRESS
--`nd even functions, classify the
en, or neither.
TOOLS III
X
12:39 PM
10/6/2022
21
Transcribed Image Text:XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X ← → C ✰ xyztextbooks.com/ebook/title/reva_ca E CONTENTS 85°F Sunny CATALOG 35. f(x)= |x-1| 37. f(x) = (x² + 1)(x − 1) + SECTION: 2.6 36. f(x)=x52x 38. f(x) = (x² - 3)(x² - 4) In Exercises 39-50, find the average rate of change of each function on the given interval. 39. f(x) = 2x² + 5, interval: [-2, -1] 1, interval: [2, 3] 41. f(x) = x³ + 1, interval: [0, 2] 40. f(x) = 3x² 42. f(x) = 44. f(x) = 2x³, interval: [-2, 0] 3x³ + x² + 4, interval: [-2,0] 43. f(x) = 2x² + 3x − 1, interval: [−2, −1] 45. f(x) = -x + 6x² - 1, interval: [1, 2] 47. f(x) = 2x + 4, interval: [3, 5] 4x³ - 3x² - 1, interval: [0, 2] 46. f(x) = 48. f(x) = |x|5, interval: [-4, -2] 49. f(x)=√x, interval: [-4, -3] In Exercises 51-54, calculate the difference quotient 51. f(x) = 2x - 4 53. f(x)=x²-1 PAGE 183 50. f(x)=√x + 3, interval: [2, 4] f(x +h)-f(x) h 52. f(x)=-3x + 1 54. f(x)=2x² In Exercises 55-60, use a graphing utility to decide if the function is odd, even, or neither. 55. f(x)=x² - 4x + 1 56. f(x)=2x² + 2x + 3 57. f(x) = 2x³ – x 58. f(x) = (x + 1)(x − 2)(x + 3) 60. f(x) = -x + 4x² 59. f(x)=x45x² +4 Applications 100 61. Demand Function The demand for a product, in thousands of units, is given by d(x) = where x is the price of the product. Is this an increasing or a decreasing function? Explain. 62. Revenue The revenue for a company is given by R(x) = 30x, where x is the number of units cold in thousands. Is thic an incrossing or a decreasing function? Enlain 23 H a Example 1 VIDEOS Math TV.com P | | _ :.- _ +l._ J.£.. !^: _ BOOKSHELF 2022-10-05 (11).png - Photos SUPPLEMENTS Click an instructor below to start video playback. PROGRESS --`nd even functions, classify the en, or neither. TOOLS III X 12:39 PM 10/6/2022 21
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