Schnittpunkte berechnen von zwei Schaubildern (Schnittstellen zweier Funktionen) | How to Mathe

Video overview at https://howtomathe.de Two examples of how to calculate the points of intersection of two curves. Basically, you always have to equate both function terms, solve the resulting equation using the appropriate method (rearranging, quadratic formula, substitution, etc.), and then obtain the points of intersection. If you only need to find the points of intersection, you're done. Otherwise, you have to substitute the values ​​into one of the two functions to calculate the corresponding function value, i.e., the y-value of the intersection point. It doesn't matter which function you use; both will give the same value. By the way: If the calculation results in a double point of intersection, then the two graphs are touching instead of intersecting. In this case, the problem might refer to points of tangency or common points, since they aren't actually points of intersection.