(a)
Draw the graph of
(a)
Explanation of Solution
Calculation:
Make a table :
x | |
-1 | 0.5 |
0 | 1 |
0.5 | 1.414 |
1 | 2 |
2 | 4 |
3 | 8 |
4 | 16 |
5 | 32 |
Now plot each point and join them to get the graph of
(b)
Draw the graph of
(b)
Explanation of Solution
Calculation:
Since in inverse , the values of x and y -coordinates are interchanged.
Make a table by reversing the columns of x and y -values:
x | y |
0.5 | -1 |
1 | 0 |
1.414 | 0.5 |
2 | 1 |
4 | 2 |
8 | 3 |
16 | 4 |
32 | 5 |
Now plot each point and join them to get the graph of
(c)
Find
(c)
Answer to Problem 23WE
Explanation of Solution
Calculation:
From part (b) ,
has table :
x | y |
0.5 | -1 |
1 | 0 |
1.414 | 0.5 |
2 | 1 |
4 | 2 |
8 | 3 |
16 | 4 |
32 | 5 |
So,
(d)
Find the domain and range of
(d)
Answer to Problem 23WE
Explanation of Solution
Calculation:
From part (b) ,
The graph of the functions give the domain and range.
Domain is all possible values of x and range is all possible values of y .
So,
For ,
Domain = {all real numbers}
Range =
Since the domain and range of inverse function is reversed , so , for
Domain =
Range = {all real numbers}
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Algebra and Trigonometry: Structure and Method, Book 2
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