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MAT 21A Lecture Notes - Lecture 1: Real Number

Domain: a set of values allowed as inputs into a function. Range: a set of values produced as outputs by the function based on the inputs. The range is sometimes also referred to as the co-domain . 16- x2 0 

United States

Calculus

Mathematics

Korana Burke

University of California - Davis

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/30/3045734.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/30/3045734.png" alt=""></picture></p> <div id="cab" class="hidden">2.2.12 Question Help Determine if the relation is a function. Assume x is the independent variable. Is the relation a function? 0 A. O B. O c. O D. No, the relation is not a function because at least one value of the domain corresponds to more than one value in the range. Yes, the relation is a function because each value in the range corresponds to exactly one value in the domain Yes, the relation is a function because each value in the domain corresponds to exactly one value in the range No, the relation is not a function because at least one value of the range corresponds to more than one value in the domain. </div>

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/30/3045732.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/30/3045732.png" alt=""></picture></p> <div id="h5c" class="hidden">2.2.11 Question Help Determine if the relation is a function. Assume x is the independent variable Is the relation a function? OA. No, the relation is not a function because at least one value of the range corresponds to more than one value in the domain O B. Yes, the relation is a function because each value in the domain corresponds to exactly one value in the range. O C. Yes, the relation is a function because each value in the range corresponds to exactly one value in the domain. O D. No, the relation is not a function because at least one value of the domain corresponds to more than one value in the range. </div>

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;"> <div> <br> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/30/3048837.jpeg" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/30/3048837.jpeg" alt=""></picture> </div> </div> <div id="f79" class="hidden">THE DOMAIN OF A FUNCTION EXERCISES Answer the question. Trase or Calse) The independent variable is sometimes referred to as the argument of the function 2. Tras ar False: If'no domain is specified for a function, then the domain is taken to be the set of real numbers 3. Tie or Fahr: The domain of the function/(x)--is(-m -2)ã(-2,2)ã(2e) State the domain of each function in interval notation. 4ãf(x)--3+1 13. f(x)- 14, f(x)- 14 f(x)-x-49 7. ()--3x-10 g, f(x)- 6, S. (x)2 16. f(x)- log(5x+6) 17. f(x)-log(3-x) 18. f(x)-s-x r4 7 10. f(x)- 24-1S 19, f(x)-FA- 20, f(x)--4- 11. f(x) 3x +2 12. f(x)- Â© 2014 SV. Harris-Plant, PhD Updated: 16 August 2017 </div>

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As seen, f approaches the value 0. 5 from both the left side and the right side. Therefore, the limit of f as x approaches 1 is 0. 5. When a function a

MAT 21A Lecture Notes - Lecture 1: Real Number

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