In this exercise you will look at the graph of the hyperbola 16x2 9y2 144 from two
Chapter 11, Problem 40(choose chapter or problem)
In this exercise you will look at the graph of the hyperbola 16x2 9y2 144 from two perspectives. (a) Solve the given equation for y, then graph the two resulting functions in the standard viewing rectangle. (b) Determine the equations of the asymptotes. Add the graphs of the asymptotes to your picture from part (a). (c) Looking at your picture from part (b), you can see that the hyperbola seems to be moving closer and closer to its asymptotes as x gets large. To see more dramatic evidence of this, change the viewing rectangle so that both x and y extend from 100 to 100. At this scale, the hyperbola is virtually indistinguishable from its asymptotes.
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