By R. Barnett, et. al.
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Extra resources for College Algebra - Graphs and Models
99. This is an improvement, but we can do better. Repeating the Zoom In command and tracing along the curve (Fig. 00. 57 10 Ϫ10 Z Figure 21 Z Figure 20 (C) Enter y2 ϭ 5 in the graphing calculator and graph y1 and y2 in the standard viewing window (Fig. 21). Now there are two curves displayed on the graph. The horizontal line is the graph of y2 ϭ 5, and the other curve is the familiar graph of y1. The coordinates of the intersection point of the two curves must satisfy both equations. Clearly, the y coordinate of this intersection point is 5.
29 and 30). 300 Ϫ10 10 Ϫ10 Z Figure 29 Z Figure 28 Z Figure 30 Examining Figure 29, we see that the values of y1 are getting very large. It’s unlikely that there will be additional solutions to the equation y1 ϭ 200 for larger values of x. Examining Figure 30, we see that there are values of y1 that are on both sides of 200, so there’s a good chance that there will be additional solutions for more negative values of x. Based on the table values in Figure 30, we make the following changes in the window variables: Xmin ϭ Ϫ20, Xscl ϭ 5, Ymax ϭ 500, Ymin ϭ Ϫ200, Yscl ϭ 50.
05(x ϩ 4)3 ϩ 4 ϭ 17 Ϫ x 3 56. 3x Ϫ 29 ϭ 51 Ϫ5 Ϫ 2x 42. (A) Sketch the graph of x2 ϩ y2 ϭ 4 by hand and identify the curve. (B) Graph y1 ϭ 24 Ϫ x2 and y2 ϭ Ϫ 24 Ϫ x2 in the standard viewing window of a graphing calculator. How do these graphs compare to the graph you drew in part A? (C) Apply each of the following ZOOM options to the graphs in part B and determine which options produce a curve that looks like the curve you drew in part A: ZDecimal, ZSquare, ZoomFit 57. The point (12, 2) is on the graph of y ϭ x2.