### Home > APCALC > 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:

.