Square Function
This is the Square Function:
f(x) = x2
Some sample values:
| Input x |
Calculation |
Output f(x) = x2 |
|---|---|---|
| −3 | (−3) × (−3) | 9 |
| −2 | (−2) × (−2) | 4 |
| −1 | (−1) × (−1) | 1 |
| 0 | 0 × 0 | 0 |
| 1 | 1 × 1 | 1 |
| 2 | 2 × 2 | 4 |
| 3 | 3 × 3 | 9 |
The outputs are symmetrical! Both positive and negative inputs produce the exact same positive output (for example, both −3 and 3 give us 9).
This is its graph:
f(x) = x2
It is a Parabola.
It has symmetry about the y-axis (like a mirror image).
It is an even function.
Its Domain is the Real Numbers:
Its Range is the Non-Negative Real Numbers: [0, +∞)
Plot the graph here