Domain and Range
Domain: (-∞, 0) U (0, ∞)
Range: (0, ∞)
Graph
Table
|
X |
Y |
|
-2 |
¼ |
|
-1 |
1 |
|
- ½ |
4 |
|
0 |
undefined |
|
½ |
4 |
|
1 |
1 |
|
2 |
¼ |
Description
In y = ⅟x², the output is one divided by the input multiplied by itself.
Characteristics
Concavity- The graph of y = ⅟x² is concave up from (-∞,0) and then from (0,∞).
Decreasing/Increasing- The graph of y = ⅟x² is increasing from (-∞, 0), and decreases from (0, ∞).
Symmetry- The graph of y = ⅟x² has even symmetry because each side of the graph is a reflection of the other across the y-axis.
Maximum: none
Minimum: none
Limits-
