This exercise refers to Example 5 and Figure 8.(a) According to Figure 8, the graph of y =...

This exercise refers to Example 5 and Figure 8.

(a) According to Figure 8, the graph of y = x3 − 2x2 − 2x has an x-intercept between 2 and 3, slightly closer to 3 than to 2. Graph the equation in the viewing rectangle [2.5, 3, 0.1] by [−2, 3, 1] to see that the intercept is between 2.7 and 2.8, closer to 2.7 than to 2.8. Thus, to one decimal place, the intercept is 2.7, as stated in Example 5.

(b) Estimate the x-intercept to three decimal places by finding a suitable viewing rectangle.

EXAMPLE 5 Finding approximate and exact values for x-intercepts

Figure 8

y = x3 − 2x2 − 2x

viewing rectangle: [−4, 4, 2] by [−6, 4, 2]