Consider the function defined by
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Source: The Mathematics Teacher.
a. Graph the function on [ − 6, 6] by [ − 6, 6]. From your graph, estimate how many x-intercepts the function has and what their values are.
b. Now graph the function on [ − 1.5, − 1.4] by [ − 10−4, 10−4] and on [1.4, 1.5] by [ − 10−5, 10−5]. From your graphs, estimate how many x-intercepts the function has and what their values are.
c. From your results in parts a and b, what advice would you give a friend on using a graphing calculator to find x-intercepts?
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