By Ron Larson
This market-leading textual content keeps to supply either scholars and teachers with sound, regularly established causes of the mathematical recommendations. Designed for a one- or two-term direction that prepares scholars to review calculus, the hot 7th version keeps the good points that experience made Precalculus a whole resolution for either scholars and teachers: fascinating functions, state of the art layout, and cutting edge expertise mixed with an abundance of rigorously written workouts.
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Extra resources for Precalculus, Seventh Edition
Sample text
A Numerical Approach: Construct and use a table. A Graphical Approach: Draw and use a graph. An Algebraic Approach: Use the rules of algebra. 0, 62 ≤ x ≤ 76 where x is the man’s height (in inches). Company) (Source: Metropolitan Life Insurance a. Construct a table of values that shows the median recommended weights for men with heights of 62, 64, 66, 68, 70, 72, 74, and 76 inches. b. Use the table of values to sketch a graph of the model. Then use the graph to estimate graphically the median recommended weight for a man whose height is 71 inches.
National Center for Health Statistics) 1920 1930 1940 1950 1960 1970 1980 1990 2000 20 y Model It Life expectancy, y 10 y (d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area. Year 5 (d) What can you conclude in general about the relationship between the diameter of the copper wire and the resistance? Synthesis True or False? In Exercises 77 and 78, determine whether the statement is true or false. Justify your answer. 77. A graph is symmetric with respect to the x-axis if, whenever ͑x, y͒ is on the graph, ͑Ϫx, y͒ is also on the graph.
23 Notice that when creating the table in Example 6, it is easier to choose y-values and then find the corresponding x-values of the ordered pairs. y x ϭ y2 ϩ 1 ͑x, y͒ 0 1 ͑1, 0͒ 1 2 ͑2, 1͒ 2 5 ͑5, 2͒ Now try Exercise 37. Sketching the Graph of an Equation Example 7 Sketch the graph of Խ Խ yϭ xϪ1. Solution y 6 5 This equation fails all three tests for symmetry and consequently its graph is not symmetric with respect to either axis or to the origin. The absolute value sign indicates that y is always nonnegative.