In Example 5, we graphed the rational function and found that the graph has a hole at the point Therefore, the graph of R is discontinuous at We can remove this discontinuity by defining the rational function R using the following piecewise-defined function:

(a) Redefine R from Problem 33 so that the discontinuity at x = 3 is removed.(b) Redefine R from Problem 35 so that the discontinuity at x = 3/2 is removed.

Data from example 5

Data from problem 33

Data from problem 35

R(x) = 2x - 5x + 2 x2 x - 4