1. The problem is to solve the function $f(x) = x^2$. 2. This function represents a parabola opening upwards with vertex at the origin $(0,0)$. 3. The formula for the function is $f(x) = x^2$. 4. To find the value of $f(x)$ for any $x$, simply square the value of $x$. 5. For example, if $x=3$, then $f(3) = 3^2 = 9$. 6. If you want to find the roots (where $f(x) = 0$), solve $x^2 = 0$. 7. This gives $x = 0$ as the only root. 8. The function is always non-negative since squaring any real number results in a non-negative value. Final answer: $f(x) = x^2$ with root at $x=0$ and $f(x) \geq 0$ for all $x$.