Consider the function defined by
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Source: The Mathematics Teacher.
a. Graph the function on [−3.4, 3.4] by [−3, 3], From your graph, estimate how many vertical asymptotes the function has and where they are located.
b. Now graph the function on [−1.5, −1.4] by [− 10, 10] and on [1.4, 1.5] by [−1000, 1000], From your graphs, estimate how many vertical asymptotes the function has and where they are located.
c. From your results in parts a and b, what advice would you give a friend on using a graphing calculator to find vertical asymptotes?
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