By Ron Larson

Excellent for classes that require using a graphing calculator, PRECALCULUS: actual arithmetic, actual humans, sixth version, good points caliber workouts, fascinating purposes, and cutting edge assets that can assist you be triumphant. preserving the book's emphasis on scholar help, chosen examples contain notations directing scholars to past sections the place they could evaluate thoughts and abilities had to grasp the fabric to hand. The booklet additionally achieves accessibility via cautious writing and design--including examples with targeted recommendations that start and finish at the similar web page, which maximizes clarity. equally, side-by-side suggestions convey algebraic, graphical, and numerical representations of the math and aid quite a few studying kinds. Reflecting its new subtitle, this crucial revision focuses greater than ever on exhibiting readers the relevance of arithmetic of their lives and destiny careers.

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F ͑x͒ ϭ 5, 4x ϩ 1, Evaluating a Function In Exercises 29– 44, evaluate the function at each specified value of the independent variable and simplify. 25 Functions f ͑Ϫ9͒ (c) f ͑t͒ f ͑Ϫ5͒ x < 0 x Ն 0 f ͑0͒ xՅ 0 x > 0 f ͑0͒ x Յ 1 x > 1 f ͑1͒ (c) f ͑t͒ Finding the Inputs That Have Outputs of Zero In Exercises 51–54, find all values of x such that f ͧxͨ ‫ ؍‬0. 51. f ͑x͒ ϭ 15 Ϫ 3x 3x Ϫ 4 53. f ͑x͒ ϭ 5 52. f ͑x͒ ϭ 5x ϩ 1 2x Ϫ 3 54. f ͑x͒ ϭ 7 Finding the Domain of a Function In Exercises 55–64, find the domain of the function.

2x2 ϩ 11x Ϫ 40 124. x2 Ϫ 11x ϩ 28 126. 3x2 Ϫ 16x ϩ 5 127. Make a Decision To work an extended application analyzing the numbers of bachelor’s degrees earned by women in the United States from 1985 through 2007, visit this textbook’s Companion Website. (Source: National Center for Education Statistics) The Make a Decision exercise indicates a multipart exercise using large data sets. Go to this textbook’s Companion Website to view these exercises. Copyright 2011 Cengage Learning. All Rights Reserved.

S. Postal Service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches (see figure). x x y x 24 − 2x x 24 − 2x x (a) Write the volume V of the package as a function of x. What is the domain of the function? (b) Use a graphing utility to graph the function. Be sure to use an appropriate viewing window. (c) What dimensions will maximize the volume of the package? Explain. Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.

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