Open Middle®
Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a rational function, its vertical asymptote, and its 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
There are many possible answers including:
y = 4/(x + -3) + 1
Solution: x = -1
Vertical asymptote: x = 3
y = 4/(x + -3) + 1
Solution: x = -1
Vertical asymptote: x = 3
Source: Robert Kaplinsky