Calculate the Area of f(x) = x²: Positive Region Analysis

Find the positive area of the function

$f(x)=x^2$

To determine where the function $f(x) = x^2$ is positive, we consider the nature of this parabolic graph, which opens upwards.

Step 1: Recognize that the function $f(x) = x^2$ outputs non-negative values for any real number $x$. The graph of this function is a U-shaped parabola.

Step 2: Analyze the values of the function:
- For $x = 0$, $f(0) = 0^2 = 0$.
- For $x \neq 0$, $f(x) = x^2 > 0$, because squaring any non-zero real number results in a positive value.

Therefore, the function is positive for all $x$ except at $x = 0$, where it is zero.

Step 3: Based on the comparison given in the choices, and our calculation, the area of interest is positive for $x \neq 0$.

Thus, the solution to the problem is that the positive area occurs for $x \neq 0$.