By James Stewart
Author: James Stewart
Pages: 1404 in PDF
Publisher: Cengage studying; eight edition
Date: February four, 2015
Success on your calculus direction starts off the following! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a cause: they're transparent, actual, and packed with correct, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, 8th variation, Stewart conveys not just the software of calculus that can assist you boost technical competence, but additionally can provide an appreciation for the intrinsic fantastic thing about the topic. His sufferer examples and integrated studying aids can assist you construct your mathematical self belief and accomplish your targets within the path.
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Additional info for Calculus: Early Transcendentals (8th Edition)
16 Chapter 1 Functions and Models Example 7 A function f is defined by f sxd − H 1 2 x if x < 21 x2 if x . 21 Evaluate f s22d, f s21d, and f s0d and sketch the graph. Solution Remember that a function is a rule. For this particular function the rule is the following: First look at the value of the input x. If it happens that x < 21, then the value of f sxd is 1 2 x. On the other hand, if x . 21, then the value of f sxd is x 2. Since 22 < 21, we have f s22d − 1 2 s22d − 3. Since 21 < 21, we have f s21d − 1 2 s21d − 2.
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. ■ 12 Chapter 1 Functions and Models y Example 2 Sketch the graph and find the domain and range of each function. (a) fsxd − 2x 2 1 (b) tsxd − x 2 Solution y=2x-1 0 -1 x 1 2 FIGURE 7 y (2, 4) y=≈ (_1, 1) (a) The equation of the graph is y − 2x 2 1, and we recognize this as being the equa tion of a line with slope 2 and y-intercept 21.
8. The graphs of f and t are given. f (c) Estimate the solution of the equation f sxd − 21. (d) On what interval is f decreasing? (e) State the domain and range of f. (f) State the domain and range of t. etermine whether the curve is the graph of a function of x. 7–10 D If it is, state the domain and range of the function. 10. 2 x 1 0 y 1 1 x 0 (a) State the values of f s24d and ts3d. (b) For what values of x is f sxd − tsxd? Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.