Open Middle®
Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a rational function, its vertical asymptote, and the greatest possible solution.
Hint
How do the fraction’s numerator, the constant being added to x in the denominator, and the constant being added to the fraction each affect the values of the solution and vertical asymptote?
Answer
The greatest possible solution found so far is:
y = 2/(x + -9) + 1
Solution: x = 7
Vertical asymptote: x = 9
y = 2/(x + -9) + 1
Solution: x = 7
Vertical asymptote: x = 9
Source: Robert Kaplinsky
y = -9/(x-7) + 9, yields a solution of x = 8 and a VA at x = 7
y = 4/(x-5) -1 yields a solution of x = 9 and a VA at x = 5