For Exercise:
(a) Use a graphing utility to graph the equation.
(b) Use a graphing utility, as in Example 5, to estimate to one decimal place the x-intercepts.
(c) Use algebra to determine the exact values for the x-intercepts. Then use a calculator to check that the answers are consistent with the estimates obtained in part (b).
EXAMPLE 5 Finding approximate and exact values for x-intercepts
xy − 12y = x2 − x − 1
Hint for part (a): To solve the equation for y, first factor out the common term y on the left-hand side. Regarding the essential features of the graph, you should find that there are are two distinct pieces. You may have to adjust the viewing rectangle.
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