# What are the asymptotes of #y=-1/(x+4)+3# and how do you graph the function?

- Asymptote of y : x = -4
- Asymptote of x :
#lim_(x->∞)# #(3x +11)/(x+4)# =#3# - Intersection x axis : y = 0
#-># #-11/3# =#-3.67# - Intersection y axis : x = 0
#-># #11/4# =#0.275# - Graph :
graph{-1/(x+4) + 3 [-16.39, 16.39, -8.19, 8.19]}

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The asymptotes of the function y=-1/(x+4)+3 are a vertical asymptote at x=-4 and a horizontal asymptote at y=3. To graph the function, plot the vertical asymptote at x=-4 and the horizontal asymptote at y=3. Then, choose some x-values and find the corresponding y-values to plot additional points. Connect the points smoothly to form the graph.

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