### Home > CALC > Chapter 1 > Lesson 1.3.2 > Problem 1-117

1-117.

For each part below, give an example of a function with specified attributes. Provide a sketch of each function.

A function with a hole at

and an asymptote at.Write a rational function with (

) in both the numerator and the denominator to make a hole at.Remember that vertical asymptotes are formed by zeros in the denominator.

A function with asymptotes at the

-axis andand a hole at.An asymptote at the

axis is the same as having a vertical asymptote of.A function with an end behavior function

.Holes and vertical asymptotes do not affect end behavior. How can

be altered so that it has a hole or vertical asymptote?Possible answer:

[answer to part (a)]