Graph the relation find the domain and range. (-1,1/2),(-1/2,-1),(3/2,0),(2/,3/2)
To graph the relation, we plot the given points on a coordinate plane:
(-1, 1/2) : This point is located 1 unit to the left of the y-axis and 1/2 unit above the x-axis.
(-1/2, -1) : This point is located 1/2 unit to the left of the y-axis and 1 unit below the x-axis.
(3/2, 0) : This point is located 3/2 units to the right of the y-axis and on the x-axis.
(2, 3/2) : This point is located 2 units to the right of the y-axis and 3/2 units above the x-axis.
Now we can connect the points and obtain the graph of the relation:
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3 |
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2 |
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1 |
| *
0 --*--*--*--*--*--*--*--*--*--*--*--*--*--*--*--*--*--*--*--
-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
The domain of the relation is the set of all x-coordinates of the plotted points, which is D = {-1, -1/2, 3/2, 2}.
The range of the relation is the set of all y-coordinates of the plotted points, which is R = {1/2, -1, 0, 3/2}.
To graph the given relation, let's plot the given points on a coordinate plane:
The given points are:
(-1, 1/2)
(-1/2, -1)
(3/2, 0)
(2, 3/2)
Plotting these points on a graph:
```
^
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-2 -1 0 1 2 3
```
Now, let's find the domain and range of the relation:
The domain refers to the set of all possible x-values in the relation. In this case, the x-values are -1, -1/2, 3/2, and 2. So, the domain is { -1, -1/2, 3/2, 2 }.
The range refers to the set of all possible y-values in the relation. In this case, the y-values are 1/2, -1, 0, and 3/2. So, the range is { 1/2, -1, 0, 3/2 }.