23. h(x) = 2\x|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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9:14 PM
2.3. GRAPHS OF FUNCTIONS AND ORDERED PAIRS
143
23. h(x) = 2|x|
24. g(x) = |x|+ 2
25. f(x) = |x + 2|
26. Can you make any generalizations
about the relationship between the
graph of y = f(x) and the graphs
of y = f(x + 2), y = 2f(x), and y =
f(x)+ 2?
-2
-4
29.
Which of the following are graphs of func-
tions? For those that are, find the domain
and range.
4
y
4
2
30.
27.
AN AN
31.
28.
45 of 68
Transcribed Image Text:9:14 PM 2.3. GRAPHS OF FUNCTIONS AND ORDERED PAIRS 143 23. h(x) = 2|x| 24. g(x) = |x|+ 2 25. f(x) = |x + 2| 26. Can you make any generalizations about the relationship between the graph of y = f(x) and the graphs of y = f(x + 2), y = 2f(x), and y = f(x)+ 2? -2 -4 29. Which of the following are graphs of func- tions? For those that are, find the domain and range. 4 y 4 2 30. 27. AN AN 31. 28. 45 of 68
9:14 PM
142
CHAPTER 2. FUNCTIONS
3. If (0,1) is on the graph ofh, then 0 is
in the domain of h.
12. What is f(-4)?
For exercises 13.-18. refer to the following
4. If (2,1) is on the graph of f then 1 is
in the range of f.
graph:
5. If f is a function and (4,2) is on the
graph of f then (4,4) is not on the
graph of f.
6. If f is a function and (5,0) is on the
graph of f then (6,0) cannot be on
the graph of f.
-2
7. If g is a function and (2,2) is on the
graph of g then it is possible that
(2, 4) is on the graph of g?
-4
8. If g is a function and (1,3) is on the
graph of g then it is possible that
(2,3) is also on the graph of g?
13. What is f(0)?
14. What is f(-2)?
For exercises 9.-12. refer to the following
15. What is f(2)?
graph:
16. Estimate for which x f(x) = 0?
4
17. Estimate for which x f(x) = 1.
2
18. Estimate for which x f(x) = 2?
Graph the following functions:
19. f(x) 3 Зx - 1
20. g(x) = -}x + 2
9. What is f(0)?
21. f(x) = 2x – 2
10. Estimate f(1).
22. f(x) = x+1
11. Estimate f(2).
Graph the following functions. You may
wish to make a table.
Transcribed Image Text:9:14 PM 142 CHAPTER 2. FUNCTIONS 3. If (0,1) is on the graph ofh, then 0 is in the domain of h. 12. What is f(-4)? For exercises 13.-18. refer to the following 4. If (2,1) is on the graph of f then 1 is in the range of f. graph: 5. If f is a function and (4,2) is on the graph of f then (4,4) is not on the graph of f. 6. If f is a function and (5,0) is on the graph of f then (6,0) cannot be on the graph of f. -2 7. If g is a function and (2,2) is on the graph of g then it is possible that (2, 4) is on the graph of g? -4 8. If g is a function and (1,3) is on the graph of g then it is possible that (2,3) is also on the graph of g? 13. What is f(0)? 14. What is f(-2)? For exercises 9.-12. refer to the following 15. What is f(2)? graph: 16. Estimate for which x f(x) = 0? 4 17. Estimate for which x f(x) = 1. 2 18. Estimate for which x f(x) = 2? Graph the following functions: 19. f(x) 3 Зx - 1 20. g(x) = -}x + 2 9. What is f(0)? 21. f(x) = 2x – 2 10. Estimate f(1). 22. f(x) = x+1 11. Estimate f(2). Graph the following functions. You may wish to make a table.
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