The graph of x²/4 - y² = 1 is a hyperbola. We know that the graph of this hyperbola approaches its asymptotes as 0 x 0 increases without bound. Work Exercises in order, to see the relationship between the hyperbola and one of its asymptotes.

Compare the results in Exercises 63 and 64. How do they support the following statement? 

When x = 50, the graph of the function defined by the equation found in Exercise 61 lies below the graph of the asymptote found in Exercise 62.