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Answer to Problem 3E
A reflection in the x-axis of
While a reflection in the y-axis of
Explanation of Solution
The best way to understand this problem is by taking an example and solving it accordingly.
Let,
For reflection of x -axis:
Calculation for graph:
Consider
Values of x | Values of f (x ) |
0 | 6 |
1 | 2 |
-1 | 12 |
2 | 0 |
3 | 0 |
By taking different values of x , the graph can be plotted.
Calculation for graph:
Consider
Values of x | Values of h (x) |
0 | -6 |
1 | -2 |
-1 | -12 |
2 | 0 |
3 | 0 |
By taking different values of x , the graph can be plotted.
Graph for both
Interpretation:
From the above graph, it is clear that
For reflection of y -axis:
Calculation for graph:
Consider
Values of x | Values of f (x ) |
0 | 6 |
1 | 2 |
-1 | 12 |
2 | 0 |
3 | 0 |
By taking different values of x , the graph can be plotted.
Calculation for graph:
Consider
Values of x | Values of h (x) |
0 | 6 |
1 | 2 |
-1 | 2 |
2 | 0 |
3 | 0 |
By taking different values of x , the graph can be plotted.
Graph for both
Interpretation:
From the above graph, it is clear that
Conclusion:
Hence,
A reflection in the x-axis of
While a reflection in the y-axis of
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS:GRAPH.APPROACH
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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