1. The problem is to find the x-intercept of a function, which is the point where the graph crosses the x-axis. 2. The x-intercept occurs when the output value $y$ is zero. 3. To find the x-intercept, set the function equal to zero and solve for $x$. 4. For example, if the function is $y = f(x)$, solve $f(x) = 0$. 5. This involves algebraic manipulation such as factoring, expanding, or using the quadratic formula depending on the function. 6. The solutions to $f(x) = 0$ are the x-intercepts. 7. Each solution corresponds to a point $(x, 0)$ on the graph. 8. If no real solutions exist, the function has no x-intercepts. 9. This method applies to linear, quadratic, polynomial, and many other functions. 10. Always check your solutions by substituting back into the original function to confirm $y=0$.