Unit+IV+Virtual+Notebook+Response

=Unit 4, Lesson 2 = 1. Create a rational function whose vertical asymptotes add to zero and whose zeros add to zero. Describe the asymptote behavior and end behavior of the function you created using limit notation.

2. True or false: A rational function as a vertical asymptote at x = c every time c is a zero of the denominator. If the statement is false justify your answer using mathematical terminology learned in class and examples of at least 2 functions that make this statement false.

3. Describe how the graph of a nonzero rational function f(x) = (ax+b)/(cx+d) can be obtained from the graph y = 1/x.

4. Write a rational function with the following properties: (a) Vertical asymptotes: x = -5 and x = 2. (b) Horizontal asymptote: y = -3. (c) // y // -intercept 1.