1. The problem is to check all intersections and verify the numbers given, not just those that prefer one option. 2. To find intersections of functions or values, we set them equal and solve for the variable. 3. For example, if we have two functions $f(x)$ and $g(x)$, intersections occur where $f(x) = g(x)$. 4. We solve the equation $f(x) = g(x)$ by isolating $x$ and simplifying. 5. If fractions or common factors appear, we use \cancel{} to show cancellation, e.g., $$\frac{\cancel{a}}{\cancel{b}}$$. 6. After finding $x$ values, we substitute back to find corresponding $y$ values. 7. We verify all given numbers by substituting them into the original functions to check equality. 8. This ensures no intersection points are missed and all numbers are correctly accounted for. 9. Without specific functions or numbers, this is the general method to check all intersections and verify given values.