Create a function which has the following properties:

a. It has a horizontal asymptote at y=2

b. It has a discontinuity at x=2 which is not a vertical asymptote

c. It has no other discontinuities or asymptotes

2 answers

if x>/=0, y = 2-2e^-x
if x <2, y = -1
Could you explain, in detail, why each of the properties are satisfied by your example?