prereview1sol

# prereview1sol - 13(a-3 2(b-∞-9 ∪(7 ∞ and I don’t...

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Solutions to Precalc Review Problems for First Exam Please let me know if you can’t get any of these answers–they may not be correct! 1. (a) 8 9 v 7 , (b) d 7 c 6 , (c) x 3 y 15 z 3 2. (a) (7 - 2 y )(7 + 2 y ), (b) ( a - 1)( a + 1)( b - 2)( b + 2), (c) (3 x + 5)( x - 3 2)( x 2 + 3 2 x + 3 4) 3. (a) x 2 + 1 x + 1 , (b) x - 2 x + 1 4. (a) 2 b 2 - 3 ab + 4 a 2 a 2 b 2 , (b) 2 x + 2 x 2 - 4 , (c) x 2 + x + 4 ( x + 1) 2 ( x - 1) 5. (a) x 3 x 2 + y 2 , (b) 2 x + 3 x + 2 , (c) ( x + y ) 2 xy 6. (a) - 3 (2 + x )(2 + ( x + h )) , (b) 4 x 6 + 1 4 | x | 3 (this is correct!!), (c) 14 - 3 x 2(7 - 3 x ) 3 / 2 7. (a) - 4 / 3 , - 1, (b) 5 ± 1 2 8. (a) - 3 / 2 , 5, (b) 4, (c) - 4 / 3 , - 2 9. 2 . 4 L water should be boiled oﬀ. I found this problem somewhat confusing, possibly because I wasn’t sure what brine is: I just took it to be salt and water. I also assumed that the volume of the salt was negligible. ..otherwise one couldn’t realistically do this problem. 10. 12 ft. 11. 120 min. 12. 240 mi/h or 50 mi/h. This makes me nervous that I ﬁnd two answers.
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Unformatted text preview: .. 13. (a) (-3 , 2), (b) (-∞ ,-9) ∪ (7 , ∞ ) and I don’t know how to graph the solution set on this thing. .. 14. I can’t graph it here, but it’s the region inside the circle of radius 2 and center (0 , 0), not including the circle itself. 15. Easiest is slope-intercept form: y-4 =-( x + 2). 16. Slope-int form is again easiest: y + 2 / 3 =-2( x-1 / 2) 17. I don’t yet know how to graph this in this format. ..email or ask in class if this one gives you trouble. I’ll look into how to do this. 18. 32 a + 16 h 19. Same comment as 17. 20. P ( x ) = (3 + √ 5) x . 21. 1 ( x 2 + 2) 3 . 22. (a) f-1 ( x ) = 2 x + 2 1-x , (b) f-1 ( x ) = x 2-2 5 ,x ≥ 1...
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