Radical And Linear Function Intersection

Directions: Using the digits 1 to 9 at most one time each, to make one set of functions intersect exactly twice, one set of functions intersect exactly once, and one set of functions never intersect.


How do transformations affect each function? If solving algebraically, what happens to get 1 solution? 2 solutions? No solution?


There are many answers. Here is one possibility:
y=sqrt(x-2) and y=7x+6
y=8sqrt(x) and y=4x+1
y=sqrt(x)-3 and y=5x-9

Source: Mike Fouchet

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