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:

U-shaped parabola graph of y equals x squared opening upwards with its vertex at the origin
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: Double-struck capital letter R representing the set of real numbers

Its Range is the Non-Negative Real Numbers: [0, +∞)

Plot the graph here