f(x)) 100(110 + x) = 0.055 ( 1 - 320x 320x - 100x – 11,000 = 0.055 320x 0.055(220x – 11,000) pairs/day 320x PROBLEM SET 1.5 Level 1 DRILL PROBLEMS Sketch the graph of the functions in Problems 7 to 10 by appropriately shifting, stretching, or translating the graph of y = cos x. Let y = f(x) be the function whose graph is given by Figure 1.39. Sketch the graph of the functions in Problems 1 to 6. *(x -) 7. y = cos 8 8. y = 3 cos(2.x) 4 9. y = 3 cos 2 -8 -4 4 10. y – 2 = 2 cos (x + -4 -8 In Problems 11 to 19 sketch the graph of each function without the aid of technology. Figure 1.39 Graph of f. 1. y = f(x) +2 2. y = f(x + 1) 11. y = (x – 2)2 12. y = (x – 2)² +1 3. y = f(x – 2) +1 4. у%3D2f (x + 2) 13. у %3D — 1.25(х- 2)? 14. y = (x+ 1)3+5 5. y = -f(x) 6. у %3D f(-х + 2) 15. y = (2x + 1)³ +5 16. y = (2x + 1)³/2

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...
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Question 14

f(x))
100(110 + x)
0.055 ( 1
320x
320х —
100x – 11,000
-
0.055
320x
0.055(220x – 11,000)
pairs/day
320x
PROBLEM SET 1.5
Level 1 DRILL PROBLEMS
Let y = f(x) be the function whose graph is given
by Figure 1.39. Sketch the graph of the functions in
Sketch the graph of the functions in Problems 7 to 10 by
appropriately shifting, stretching, or translating the graph
of y =
= COS X.
Problems 1 to 6.
IT
7. y = cos ( x
8.
8. y = 3 cos(2.x)
8. у
-4-
9. у 3 3 сos
2
2л
10. y – 2 = 2 cos (x + )
8-
-4
4
8 X
3
-4
In Problems 11 to 19 sketch the graph of each function
without the aid of technology.
Figure 1.39 Graph of f.
1. у %3D f(x) + 2
2. y = f(x +1)
11. y =
(x – 2)²
12. у 3D (х — 2)? + 1
-
3. у %3D f(x — 2) + 1
4. y = 2 f(x +2)
13. у %3D —1.25(х - 2)?
—1.25(х — 2)
14. y = (x + 1)³ +5
5. у %3D — f(x)
6. y = f(-x+ 2)
15. y = (2x +1)³ +5
16. у 3D (2х + 1)* /2
||
Transcribed Image Text:f(x)) 100(110 + x) 0.055 ( 1 320x 320х — 100x – 11,000 - 0.055 320x 0.055(220x – 11,000) pairs/day 320x PROBLEM SET 1.5 Level 1 DRILL PROBLEMS Let y = f(x) be the function whose graph is given by Figure 1.39. Sketch the graph of the functions in Sketch the graph of the functions in Problems 7 to 10 by appropriately shifting, stretching, or translating the graph of y = = COS X. Problems 1 to 6. IT 7. y = cos ( x 8. 8. y = 3 cos(2.x) 8. у -4- 9. у 3 3 сos 2 2л 10. y – 2 = 2 cos (x + ) 8- -4 4 8 X 3 -4 In Problems 11 to 19 sketch the graph of each function without the aid of technology. Figure 1.39 Graph of f. 1. у %3D f(x) + 2 2. y = f(x +1) 11. y = (x – 2)² 12. у 3D (х — 2)? + 1 - 3. у %3D f(x — 2) + 1 4. y = 2 f(x +2) 13. у %3D —1.25(х - 2)? —1.25(х — 2) 14. y = (x + 1)³ +5 5. у %3D — f(x) 6. y = f(-x+ 2) 15. y = (2x +1)³ +5 16. у 3D (2х + 1)* /2 ||
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