Write a formula for a rational function with the following properties: a removable singularity (hole) at x =-2, zeros at x = 6 and x = 7 and a vertical asymptote at x = 9. a. b. Does your function in part (a) have a horizontal asymptote? If so, what is its equation? If not, say how you know there is no horizontal asymptote.

In this problem, we will examine the short-run behavior of the following functions. As you complete the chart, look carefully for patterns. I – 3 a) f(x) = I + 6 (r+ 3) (x – 4) b) g(x) 1 2 (л + 2) (т — 7) c) h(x) x +2 (x + 2.4) (x + 5) (x + 1) (r + 5) d) l(x) = 12 – 6x + 8 e) т (г) — I – 2 Complete the following table using the formulas for each of the above functions and any additional information you can obtain from the graph of each function. For this question, consider holes and vertical asymptotes to be undefined points. Function features function number of (distinct) zeros number of undefined points f(r) g(x) h(x) e(x) m(x) b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function f(x) has been completed as an…