Exercise 11 Page 400

Let's start by recalling the general equation of a rational function. y=a/x- h+ k The domain of this type of function is all real numbers except h. The range is all real numbers except k. The asymptotes are the lines x= h and y= k. Let's now identify the values of a, h, and k for the given function. y=4/x- 3+ 0 We can see that a= 4, h= 3, and k= 0. Therefore, the domain of the function is all real numbers except 3, the range is all real numbers except 0, and the asymptotes are the lines x= 3 and y= 0. With this in mind, we will make a table of values. Be sure to include numbers on both sides of the domain.

Let's now plot and connect the obtained points. Remember that the asymptotes are x=3 and y=0 and that the graph will have two branches.