Coll Alg Exam

.Find the distance between (2 , 3 ) and ( 4 ,5 ). A. 14 B. 10 C. 217D. 210E. 22 .Consider the points (3, 16) and (7, 6). Find the slope of segment . A. 25 B. 52 C. 25 D. 52 E. undefined .Find the equation of the line passing through points (2, 3) and (3, 2). A. 57 B. 15135 C. 517 D. 1575 E. 513 .The graph of 23isTrue or False? .To graph 4, you would move the graph of . . . A. 4 units right B. 4 units left C. 4 units down D. 4 units up E. 2 units left and 2 units right .Solve the proportion: 725 . A. 5, 14 B. 145C. 7, 2

D. 72

E. 72

.Express the following statement as a formula: b varies jointly as d and f. A. B. C. D. ) E. .Consider the function defined by 23. The domain of is A. 0 B. 3 C. ( 3, ) D. [ 0, ) E. [ 3, ) .Consider the function defined by 5. The range of is A. [ 5, ) B. 5 C. 5, ) D. [ 0, ) E. ( , )

.Consider the function defined by 216. 5_?_. A. 5216 B. 41 C. 3 D. 5280

E. 41

.Find the vertex of the parabola whose equation is 261. A. (3, 10) B. (3, 10) C. (3, 10) D. (6, 1) E. (6, 1) .Evaluate the difference quotient for 31. A. 2 B. 1 C. D. 3

E. 1

.Categorize the function, 332, as one of the following: A. even B. odd C. neither even nor odd .To graph 12, you would do the following to the graph of 2: A. reflect it through the -axis and move it up 1 unit B. reflect it through the -axis and move it up 1 unit C. reflect it through the -axis and move it right 1 unit D. reflect it through the -axis and move it down 1 unit E. reflect it through the -axis and move it left 1 unit .To graph 21, you would move the graph of ||. . . A. right 1 unit and up 2 units B. left 1 unit and up 2 units C. right 2 units and up 1 unit D. left 2 units and up 1 unit E. left 2 units and down 1 unit .Determine the interval over which 2614is increasing. A. ( 3, ) B. (, 3 ) C. ( 3, 5 ) D. (, 5)

E. ( 5, )

.Consider the rational function defined by the equation 724. Give the equation(s) of all vertical asymptotes. A. 7 B. 4 C. 2, 2D. 0 E. 1 .Consider the rational function defined by the equation 45322. Give the equation of the horizontal asymptote. A. 0 B. 54 C. 43 D. 23 E. No horizontal asymptotes .Assume that ()23 and ()1. Find ()(2). A. 4 B. 2 C. 7 .Assume that ()21 and ()2. Find ()(). A. 4241 B. 232 C. 221 D. 221 E. 243

D. 6

E. 14

.The function ()35 is ... A. one-to-one B. not one-to-one .Find the inverse function of 243. A. -1()34 B. -1()32 C. -1()342 D. -1()342 E. -1()324 .Graph the exponential function: 3 The graph contains the point . . . A. (3, 1) B. (1, 3) C. 13, 1

D. 2, 16

E. (1, 3)

.Recall that (1 + ). How much will $500 be worth in 3 years if it is deposited in an account paying 6%, compounded monthly? Round answer to the nearest cent. A. $4073.63 B. $595.51 C. $598.34 D. $515.15 E. $597.81 .Remember that the formula 0e determines the Malthusian model of population growthFind the projected population, to the nearest person, of a town after 10 years if its current population is 500 persons and 0.09. A. 1504 B. 1159 C. 547 D. 976 E. 1230 .For log464, find the value of . A. 2 B. 3 C. 4

D. 8

E. 16

.Find log 4.8 rounded to four decimal places. A. 1.5686 B. 121.5104 C. 63095.7344 D. 0.6812 E. undefined .Find ln 2.2 rounded to four decimal places. A. 9.0250 B. 0.3424 C. 0.7885 D. 158.4893 E. undefined . and are positive numbers: log23_?_. A. 6 log B. 6 log log C. 2 log3 log D. log 5 E. 2 log3 log .Solve 43 for . Give answer to four decimal places. A. 0.1249 B. 1.9085 C. 0.7925 D. 1.2619

E. 1.3333

.Solve log(35)log(210) for . A. 3 B. 5 C. 4

E. 1

D. 2

.Find the polynomial of lowest degree with the indicated zeros: 2, 2, , A. 44 B. 4324 C. 444 D. 3222 E. 4424

.Use synthetic division to divide: A. 2215472205 B. 2253 E. 2253

235228155. C. 2253305

D. 225532505

.Consider 45320160. How many roots does this equation have? A. 4 B. 5 C. 3 D. 8 E. 16 .Find all roots: 34260. A. 1, 2, 3 B. 1, 2, 3 2, 3

C. 1, 2, 3

.Solve the following system of equations: The -coordinate of the solution is: A. 2 B. 3 C. 6

D. 1, 2, 3 327233

D. 2

E. 3

.Solve the following system of equations: 23246 A. ( 0, 0) B. ( 2, 1) C. inconsistent system D. dependent system, ( 23) E. dependent system, ( 23) .Add: 2-31-2 + 2543 A. -81-6-1 B. 0-8-3-5

C. -1742

D. 4251

E. Undefined

.Multiply: 3-242 • 1-3-23 A. 36-86 B. -9-8610

C. 7-150-6

D. 4-525

E. Undefined

.Evaluate the determinant: A. 17 B. 13 C. 13

-25-31. D. 17

E. 0

E. 1,