37. The accompanying figure shows the graph of a function f(x) with domain [0, 2) and range [0, 1). Find the domains and ranges of the following functions, and sketch their graphs. a) s(x) +2 e) 2f(x) b) su) -I d) -f(x) ohs
37. The accompanying figure shows the graph of a function f(x) with domain [0, 2) and range [0, 1). Find the domains and ranges of the following functions, and sketch their graphs. a) s(x) +2 e) 2f(x) b) su) -I d) -f(x) ohs
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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Give me the answer of Question 37 urgently please and picture attached below
Transcribed Image Text:of the following functions, and sketch their graphs.
Exercises 4 33
d) to the graphs in Fig. 45.
b) y = (x – 2)+2
d) y = (x+3)2 - 2
labeling cach graph with its equation. Use the graphs in Fig. 26 for
reference as needed.
5. x+ y = 49 Down 3, left 2
6. x² + y - 25 Up 3, left 4
7. y=x Left 1, down I
8. y =x Right 1, down I
Position I
9. y= i Left 0.81
10. y = -Va Right 3
11. y = 2x -7 Up 7
12. y =(x +1) +5 Down 5, right 1
(2, 2)
13. x= y Left 1
14. x = -3y Up 2, right 3
15. y = 1/x Up 1, right 1
16. y = 1/x Left 2, down 1
Graph the functions in Exercises 17-36. Use the graphs in Fig. 26
for reference as needed.
osition 4
17. y= +4
18. y= 9-x
20. y = |1- x| -1
22. y =1- JA
19. y = x - 2|
21. y=1+ V – I
-4)
23. y- (x+I)a
24. y- (x- 8)2
25. y=-2/3
26. y +4=x/3
27. y = V- I-I
28. y= (x+2) +1
-x' shifted to four new posi-
ew graph
29. у
30. y=-2
X-2
31. y=-+2
32. y
(1,4)
x+2
33. y =
34. y= -1
(x - 1)2
(a)
35. y=
+1
36. у
(x+1)
(2,0)
37. The accompanying figure shows the graph of a function f(x)
with domain [0, 2) and range [0, 1). Find the domains and ranges
of the following functions, and sketch their graphs.
(d)
y=a)
in what directions the graphs
ed. Give an equation for the
and shifted graphs together,
a) f(x) +2
e) 2f(x)
e) f(x+2)
R) f(-x)
b) s) -1
d) -f(x)
o fix - 1)
h) -f(x+ 1) +1
graph of a function g(t) with Inequalities
Find the domains and ranges
tch their graphs.
Describe the regions defined by the inequalities and pairs of inequal-
ities in Exercises 61-68.
61. x+ y > 7
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