Question

Maths
Show me the graph of power function y=x²
and out to dimain and range

Answer 1

To plot the graph of the power function y = x^2, you can choose some values for x and calculate the corresponding values for y.

Here are some points you can use:

x | y
-----------
-3 | 9
-2 | 4
-1 | 1
0 | 0
1 | 1
2 | 4
3 | 9

Based on these points, you can plot the graph of y = x^2. The graph will be a U-shaped curve opening upwards. The vertex of the graph is at the point (0, 0).

The domain of the power function y = x^2 is all real numbers since any real number can be squared.

The range of the power function y = x^2 is all non-negative real numbers (including zero), since squaring any real number always gives a non-negative result.

Here is a visual representation of the graph of y = x^2:

```plaintext
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
| * *
*------------------*
|
```

In this graph, the x-axis represents the values of x, and the y-axis represents the values of y. The curve represents the graph of y = x^2.