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# INTRODUCTORY CALCULUS I [C3T1G1] MATH 205

JMU

GPA 3.61

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This 1 page Class Notes was uploaded by Eunice Schoen on Saturday September 26, 2015. The Class Notes belongs to MATH 205 at James Madison University taught by Ramon Mata-Toledo in Fall. Since its upload, it has received 44 views. For similar materials see /class/214027/math-205-james-madison-university in Mathematics (M) at James Madison University.

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Date Created: 09/26/15

Study Guide for Test No2 Test will be on Friday February 27 2009 You need to know the following new material Section 21functions and their graphs Given a function calculate the domain of the function See exercises 21 through 33 on page 59 of your textbook Given a function fx calculate the function of a given fa for some a of the domain of the function See exercises 1 through 14 on page 58 of your textbook Given a function and a point determine if the point lies on the graph of the function See exercises 17 through 20 on page 59 of your textbook Given a graph determine if this graph represents y as a function of x See exercises 49 through 55 on pages 59 and 60 of your textbook Read the verticalline test on page 5657 of your textbook Section 22 Algebra of functions Given the definitions of two functions fx and gx find the new functions defined as the sum difference product and quotient of these functions Know how to determine the domain of the sum difference product and quotient of these functions See Example 1 on page 69 See also exercises 1 through 24 on pages 73 and 74 of your textbook For all these functions determine the domain Remember that for the sum difference and product the domain is the defined as the intersection of the domains of the individual functions Intersection means the common elements of the domain of both functions 22 Composition of functions Given two functions fx and gx find the composition gofx and fogx See example 4 on page 72 of your textbook See exercises 25 through 34 on page 74 of your textbook Section 24 Limits Given the graph of a function you need to know if the function has a limit for a given value x a of the domain of the function See Example 3 on page 101 of your textbook See exercises 1 through 8 on page 111 of your textbook Given a function calculate the limit of a given value x a of the domain of the function See Example 4 on page 102 and 103 of your textbook See exercises 23 through 62 on pages 112 and 113 on your textbook In particular pay attention to exercises 49 through 62 You may need to consult table 6 on page 14 for some of the factorizations that you may require to do the exercises of this section Remember to use the rules of Theorem No 1 on page 102 of your textbook 24 Limits at infinity Given a limit at infinity know how to calculate it by using the rule given on page 108 of your textbook See Example 8 9 and 10 on pages 108 and 109 of your textbook See exercises 73 through 80 on page 114 of your textbook

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