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Exam 2 - Blue Version Name: / There are multiple versions to protect examination integrity. Write the answers in the underlined space provided. Each answer is worth one point, except #21 and #22 are worth 2 points each. Partial credit is possible. I 1. 12. 2. 13. <-t 1 , 3. 4. 5. 16. 6. 17. 7. 18. 8. 19. 9. 20. Cxf/) —. c 10. 21.(( V 3 -Lf 11.7 H I J 8 23. 6<-I)) + C4 — C” C” C’1 C? r + + cI L C” — True or False For # 1-8, completely write either, “True,” or, “False.” 1. a(b+c)=ab+ac 2. (xy)’ = 3. /ij= //7 4 3 5. 6x’ + 14x — 20x — 4 has 8 roots. 6. x+y=+j / 7 \fl (1 — “ii) 8. (x + y)fl v’ = x + yfl Algebra 9. Find x where (x + 9)3 — 3 = 5. ’J-w 2 10. If g(x) is an invertible function, and g(l) = 6, what is the value of g’(6)? 11. Find the inverse of f(x) = 2’/x + 5. (You can check your answer by seeing if f o f(x)=x.) 12. What is the implied domain of interval.) g(x) 10 + 2/9x — 6? (Your answer should be an )/ç;, 13. Suppose a 0 and that b 2 — 1ac 0. Write the following number as an integer in standard form: +b(_b__4aj+c 2 a(_b_2_4) 14. Find 5+4 4x 3x x 2+2 —2x 3 x — (1 lx b c:,)( + (-9 LJx ; / 2-\ -x 1. ( 15. Find 3+2 —x 7x 8x x—6 — — C 6 _c -‘ —‘\ 16. What is the slope of the straight line in JR 2 that passes through the points (—3, 1) and (2,6). L-C - — z) - —5 32 17. Complete the square: Write I + 6x — 1 in the form a(x + fl) 2+ where c. I) )L÷ (-I — 18. How many roots does —3x 2 — llx + 9 have? -“i -H(-N() 19. Find the roots of 2x 2 + 3x — 5. I H — H 20. Find a root of x 3 + 3x 2 — 6x — 8. ± -3 ) -tc o -/0 01 e R. 21. Completely factor x 3 4x 2 20x 7. (Hint: 7 is a root.) Your answer should be a product of a constant polynomial and some number of linear and quadratic polynomials that are monic, and any of the quadratic polynomials should have no roots. — — — -LO I I = -3±d 22. Completely factor 3x 2 6x + 24 (Hint: -2 is a root.) 6x 3 Your answer should have the same form as described in the previous problem. — — A5 3_ k 3 - •2 - L CL D [otc LQ frAØ Graphs 23. List all of the monic linear factors of p(x) that you know of from the graph below. 24. Graph ‘%— 1 and label its x— and y—intercepts. 25. Graph 2/ — 4 and label its x— and y—intercepts. 26. Graph —x + 4 and label its x— and y—intercepts. 27. Graph —(x + 2)2 H- 3 and label its vertex.