The connection between roots and x-intercepts is quite simple. Let me break it down for you:

• What are Roots?: Roots are the values of $x$ that make a function equal zero. This means it's where the graph touches or crosses the x-axis.

• What are X-Intercepts?: X-intercepts are the spots on a graph where it meets the x-axis.

So, every root you find is also an x-intercept. When you solve the equation $f(x) = 0$, you discover where the x-intercepts are on the graph. Easy, right?