Stitz-Zeager_College_Algebra_e-book

The saturday line which mathematically does not t the

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Unformatted text preview: have 39 ≤ S (x) ≤ 45. Using absolute value and the fact that S (x) = 6x2 we get |6x2 − 42| ≤ 3. Solving this inequality 13 15 , . yields 2 2 6. (a) (b) y y 3 4 2 3 1 −2 −1 2 1 2 3 1 x −1 −2 −3 −2 −1 1 2 x 2.4 Inequalities 169 (c) (e) y y 5 4 4 3 3 2 2 1 1 −2 −1 −2 −1 1 x 2 1 2 3 x 1 2 −1 −2 −3 (d) −4 y 4 (f) 3 2 20 1 15 10 −1 1 2 x 5 −4 −3 −2 −1 3 170 2.5 Linear and Quadratic Functions Regression In this section, we use some basic tools from statistical analysis to quantify linear and quadratic trends that we may see in data. Our goal is to give the reader an understanding of the basic processes involved, but we are quick to refer the reader to a more advanced course1 for a complete exposition of this material. Suppose we collected three data points, {(1, 2), (3, 1), (4, 3)}. By plotting these points, we can clearly see they do not lie along the same line. If we pick any two of the points, we can find a line containing both which completely misses the third, but our ai...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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