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 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