Advanced Mathematical Concepts: Precalculus with by Berchie Holliday

By Berchie Holliday

Booklet via Holliday, Berchie, Cuevas, Gilbert J., McClure, Melissa S.

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Use your equation to predict its highway mileage. c. Highway mileage for Model J is 26 mpg. How well did your equation predict the mileage? Explain. 30 Chapter 1 Linear Relations and Functions 28. Economics Research the average personal income for the current year. a. Find the value that the equation in Example 2 predicts. b. Is the average personal income equal to the prediction? Explain any difference. 29. Critical Thinking Determine whether the points at (5, 9), (Ϫ3, 3), and (1, 6) are collinear.

Lesson 1-1) a. Find the amount of interest that will be earned each year for five years. b. State the domain and range of the relation. c. Is this relation a function? Why or why not? 34. Finance 35. State the relation in the table as a set of ordered pairs. Then state the domain and range of the relation. (Lesson 1-1) x y Ϫ1 8 36. What are the domain and the range of the relation {(1, 5), (2, 6), 0 4 (3, 7), (4, 8)}? Is the relation a function? Explain. (Lesson 1-1) 2 Ϫ6 5 Ϫ9 x3 ϩ 5 37. Find g(Ϫ4) if g(x) ϭ ᎏᎏ.

Find zeros of linear functions. The problem above can be solved by using a linear equation. A linear equation has the form Ax ϩ By ϩ C ϭ 0, where A and B are not both zero. Its graph is a straight line. The graph of the equation 3x ϩ 4y Ϫ 12 ϭ 0 is shown. y 3x ϩ 4y Ϫ 12 ϭ 0 O x Example The solutions of a linear equation are the ordered pairs for the points on its graph. An ordered pair corresponds to a point in the coordinate plane. Since two points determine a line, only two points are needed to graph a linear equation.

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