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The truth of high school mathematics
Functional deformation

Geometric meaning

By transforming the function as shown in figure 1, we can see that the geometric meaning of this function is the sum of the distances from a point (x, 0) on the X axis to two points A and B. It is easy to know that when point (x, 0) and points A and B' are * * * lines (B' is the symmetrical point of point B about the X axis), the sum of the distances is the smallest. Easy to find: AB'=2. So the minimum value of the function is 2, and the range of the function is [2,+infinity].