By Richard N. Aufmann, Vernon C. Barker, Richard D. Nation

Obtainable to scholars and versatile for teachers, university Trigonometry, 6th variation, makes use of the dynamic hyperlink among recommendations and purposes to convey arithmetic to lifestyles. by way of incorporating interactive studying concepts, the Aufmann crew is helping scholars to higher comprehend suggestions, paintings independently, and acquire better mathematical fluency. The textual content additionally contains expertise positive aspects to house classes that let the choice of utilizing graphing calculators. extra software elements that aid scholar luck contain Eduspace instructional perform, on-line homework, SMARTHINKING dwell on-line Tutoring, and educational DVDs.The authors' confirmed Aufmann Interactive approach permits scholars to attempt a ability because it is gifted in instance shape. This interplay among the examples and check out workouts serves as a checkpoint to scholars as they learn the textbook, do their homework, or examine a bit. within the 6th version, overview Notes are featured extra prominently through the textual content to assist scholars realize the main prerequisite abilities had to comprehend new suggestions.

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**Sample text**

F͑x͒ ͉x Ϫ 1͉ a. ͭ if x Յ 1 if x Ͼ 1 2, x, The domain of f is the set of all real numbers. Write the function as y ͉x Ϫ 1͉. Evaluate the function for several domain values. We have used x Ϫ3, Ϫ2, Ϫ1, 0, 1, 2, 3, and 4. a. 4 (− 2, 3) (4, 3) (− 1, 2) (3, 2) (0, 1) −4 n͑x͒ Solution y (− 3, 4) b. 35 Plot the points determined by the ordered pairs. 35. Because ͉x Ϫ 1͉ Ն 0, we can conclude that the graph of f extends from a height of 0 upward, so the range is ͕ y ͉ y Ն 0͖. Integrating Technology A graphing utility can be used to draw the graph of a function.

Is used to describe this situation. ” The negative superscript tells us to use values of x that are less than 1—that is, to the left of 1 on the x-axis. Next we focus on values of x that are close to 1 but greater than 1. 38 and the table, it appears that as x gets closer and closer to 1, f ͑x͒ becomes larger and larger. That is, as x approaches 1 using values of x that are greater than 1, f ͑x͒ approaches ϱ. The notation f ͑x͒ l ϱ as x l 1ϩ is used to describe this situation. ” The positive superscript tells us to use values of x that are greater than 1—that is, to the right of 1 on the x-axis.

The domain of a function is the set of all the first coordinates of the ordered pairs. The range of a function is the set of all the second coordinates. 1, the domain is the interval ͓0, 100͔. The range is ͕A, B, C, D, F͖. In a function, each domain element is paired with one and only one range element. If a function is defined by an equation, the variable that represents elements of the domain is the independent variable. The variable that represents elements of the range is the dependent variable.