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___________ ___ _____ _____ _____ ___ _____ _____ ____ _ _ Math 1050—4 Midterm Exam #3 April 17, 2015 . No notes, books, etc. are allowed. • Answer the questions in the spaces provided. • You have 50 minutes to complete this exam. • Good luck! Name: 4i?s.’/ uNID: For #1—7, are the statements true or false? 1. (1 point) aXaY 2. (1 point) log,(zw) 3. log(,(zW) (1 point) log(z) + 1 log ( w) = = log(z)lV 4. (1 point) 5. (ipoint) (a =a 6. (1 point) 1og 7. (1 point) A [Ct 1. /z () 2. O a — () F1 P . Fcd 5. logo (z) \ (k.) 1og(w) Ue linear equation in two variables (ax + i by = () r) — has a two solutions. 7. For #8—10, write the expression as a rational number in standard form. 8. (1 point) 4SOO43O4_27 — . = - Li 12 9. (1 point) (3) 9. 10. (1 point) 10, 000 I, c 10. 1 / oDD Points earned: out of a possible 10 points ber in standard form. For #11—12, write the expression as a rational num 11. (1 point) , 000) g 10 1o (10 /c (ice) 11. 1 3 () 12. (1 point) log /y (/3) / 4/3 12 13. (1 point) Solve for x if log(,(x) form.) = standard —2. (Write your answer as a rational number in x: (c I’ 13. Page 2 Points earned: out of a possible 3 points C U C A p.. (.AJ A p., ..:I c_I r’ I —13 J9 -4.- p. A - - ‘l• 0 — —. (.11 - c__ — I, — -. — — —t L (1 N ‘ H H Ui .) L 17. (5 poiiils) Graph p(x) I 1 = — 4 (x — + 2) ())(2)(2)(2)< 0 1) (x + 2) (x + 2) (x 2 - J €ir&ph lb 2 1 —5 18. (5points) Graphr(x) —3(x — 2 2)(x + 5 4 3 4) 5(x+1)(x+1) 0 = LcicLltJE _3L) C &) — 5 I I —5 I —4 —3 —2 —1 0 I Page 4 1 2 I I 3 4 5 Points earned: out of a possible 10 points For #22—25, graph the function, label its x- and y-intercepts (if there are any), and draw its vertical and horizontal asymptotes (if any). / 19. (3 points) e + 1 21. (3 points) Graph g : where ifx ifx I I I (—oo,0) E — I — oo) I I 20. (3 points) log(x [0, / 1) Page 5 I I ‘V Points earned: out of a possible 9 points 22. (a) (1 point) What the slope of the line 30x is 2? — j 3c — / (a) (b) (2 poiuts) Is there a unique solution to the following system? /0 30x—3y=2 —3x + = by ? 7 — 5/oo D J re i . — / (‘1 .i’ (b) Find the solu 23. (2 points) The following system of two linear equations has a unique solution. tion. x 2x 2 = — + 3y 1 5 / Ci • i cJ (f j 3 L 23 3 Page 6 a Points earned: out of a possible 5 points