Graph the following function using transformations. Find the vertical and horizontal asymptotes. State the domain and range. Submit your graph f(x)=1/(x+1)3-3Need correct  answer asap.

Expert Answers
nathanshields eNotes educator| Certified Educator


First think about `1/x` .  It looks like this:

Now think about `1/x^2` .  Since `x^2` is always positive, so is the function:

Now what about `1/x^3` ?  Since `x^3` is negative when x is negative, the graph looks more like the top graph, 1/x.

Now, your function is just like `1/x^3` except the x has been adjusted with +1 and a -3 was thrown on the end.  So the graph is going to be translated 1 to the left and 3 down.