Domain and Range
Domain: (-∞, ∞)
Range: [0, ∞)
Graph
Table
|
X |
Y |
|
-2 |
4 |
|
-1 |
1 |
|
0 |
0 |
|
1 |
1 |
|
2 |
4 |
Description
In y = x², the output is the input multiplied by itself.
Characteristics
Concavity- The graph of y = x² is concave up all the time, so the interval of concave up is (-∞, ∞).
Decreasing/Increasing- The graph of y = x² is decreasing from (-∞, 0], and increasing from [0, ∞).
Symmetry- The graph of y = x² has even symmetry because each side of the graph is a reflection of the other across the y-axis.
Maximum: none
Minimum: 0
Limits-
