By James Stewart
Good fortune on your calculus path starts off right here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a cause: they're transparent, exact, and jam-packed with correct, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, 8th version, Stewart conveys not just the application of calculus that can assist you strengthen technical competence, but in addition promises an appreciation for the intrinsic fantastic thing about the topic. His sufferer examples and integrated studying aids might help you construct your mathematical self assurance and accomplish your targets within the path.
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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. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 1 x (input) f ƒ (output) FIGURE 2 Machine diagram for a function ƒ x ƒ a f(a) f D FOUR WAYS TO REPRESENT A FUNCTION 11 It’s helpful to think of a function as a machine (see Figure 2).
Y 1 0 x 1 State the value of f ͑Ϫ1͒. Estimate the value of f ͑2͒. For what values of x is f ͑x͒ 2? Estimate the values of x such that f ͑x͒ 0. State the domain and range of f . (a) (b) (c) (d) (e) 2. If f ͑x͒ x 3 , evaluate the difference quotient f ͑2 ϩ h͒ Ϫ f ͑2͒ and simplify your answer. h 3. Find the domain of the function. FIGURE FOR PROBLEM 1 2x ϩ 1 x2 ϩ x Ϫ 2 (a) f ͑x͒ (b) t͑x͒ 3 x s x2 ϩ 1 (c) h͑x͒ s4 Ϫ x ϩ sx 2 Ϫ 1 4. How are graphs of the functions obtained from the graph of f ?
4:21 PM y in words what the graph tells you about this race. Who won the race? Did each runner finish the race? y 8. y (m) 0 9. A 1 1 0 x 1 y C x 1 y 10. B 100 0 t (s) 20 1 1 0 1 0 x x 1 11. The graph shown gives the weight of a certain person as a function of age. Describe in words how this person’s weight varies over time. What do you think happened when this person was 30 years old? 15. The graph shows the power consumption for a day in Septem- ber in San Francisco. ) (a) What was the power consumption at 6 AM?