By Ron Larson
ISBN-10: 1133949010
ISBN-13: 9781133949015
Larson's market-leading textual content, PRECALCULUS is understood for providing sound, continually based reasons and routines of mathematical strategies to expertly organize scholars for the examine of calculus. With the 9th variation, the writer keeps to revolutionize the way in which scholars examine fabric by way of incorporating extra real-world purposes, ongoing assessment, and cutting edge expertise. How Do you spot It? workouts provide scholars perform utilizing the suggestions, and new Summarize beneficial properties, Checkpoint difficulties, and a spouse web site make stronger knowing of the ability units to assist scholars higher organize for checks.
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Additional info for Precalculus (9th Edition)
Example text
In the next example, note that none of the lines is vertical. A vertical line has an equation of the form 2 (3, 1) 1 x 1 2 Slope is undefined. 22 4 5 x ϭ a. 22. com Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.
3. A graph is symmetric with respect to the origin if, whenever ͑x, y͒ is on the graph, ͑Ϫx, Ϫy͒ is also on the graph. You can conclude that the graph of y ϭ x 2 Ϫ 2 is symmetric with respect to the y-axis because the point ͑Ϫx, y͒ is also on the graph of y ϭ x2 Ϫ 2. 15 2 3 4 5 x Ϫ3 Ϫ2 Ϫ1 1 2 3 y 7 2 Ϫ1 Ϫ1 2 7 ͑Ϫ3, 7͒ ͑Ϫ2, 2͒ ͑Ϫ1, Ϫ1͒ ͑1, Ϫ1͒ ͑2, 2͒ ͑3, 7͒ ͑x, y͒ (1, −1) y = x2 − 2 Algebraic Tests for Symmetry 1. The graph of an equation is symmetric with respect to the x-axis when replacing y with Ϫy yields an equivalent equation.
The slope of the line is mϭ 2000 Ϫ 12,000 8Ϫ0 ϭ Ϫ$1250 which represents the annual depreciation in dollars per year. Using the point-slope form, you can write the equation of the line as follows. V Ϫ 12,000 ϭ Ϫ1250͑t Ϫ 0͒ Write in point-slope form. 30 shows the graph of the equation. V Value (in dollars) 12,000 Write in slope-intercept form. com. A manufacturing firm purchased a machine worth $24,750. The machine has a useful life of 6 years. After 6 years, the machine will have to be discarded and replaced.
Precalculus (9th Edition) by Ron Larson
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