Stitz-Zeager_College_Algebra_e-book

Where have we seen that type of coincidence before

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Unformatted text preview: n arbitrary circle. 7. Circles and semi-circles have been used many times throughout the book to illustrate specific concepts. With the help of your classmates, find the Examples or Exercises in which a circle or semi-circle was used to discuss the following. (a) Symmetry (or lack thereof) (b) The Vertical Line Test (c) Local and absolute extrema (d) Transformations (e) Unusual steepness 8. Find a one-to-one function whose graph is half of a circle. (Hint: Think piecewise.) 2 Source: Cedar Point’s webpage. 7.2 Circles 7.2.2 405 Answers 2 (d) (x − π )2 + y − e2 1. (a) (x + 1)2 + (y + 5)2 = 100 y 2 = 91 3 y 5 e2 + −11 −1 9 √ 3 91 x e2 −5 √ e2 − 3 91 −15 x 4)2 (b) (x − + (y + 2)2 =9 π− y √ 3 (e) (x − 1 1 4 7 π 91 5)2 + (y + π+ 9)2 = (ln(8))2 y x −2 x 5 − ln(8) 5 5 + ln(8) −5 (c) (x + 3)2 + y − 72 13 = 1 4 −9 + ln(8) y −9 −9 − ln(8) 27 26 7 13 7 −2 −3 1 26 5 −2 (f) (x + e)2 + y − √ 2 2 = π2 y x √ 2+π √ 2 x −e − π −e −e + π √ 2−π √ 3 91...
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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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