Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make one set of functions intersect exactly twice, one set of functions intersect exactly once, and one set of functions never intersect.
Hint
How do transformations affect each function? If solving algebraically, what happens to get 1 solution? 2 solutions? No solution?
Answer
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
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