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# College Algebra MATH 119

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This 11 page Class Notes was uploaded by John MacGyver on Monday October 26, 2015. The Class Notes belongs to MATH 119 at University of Tennessee - Knoxville taught by Tracy Cook in Fall. Since its upload, it has received 17 views. For similar materials see /class/229823/math-119-university-of-tennessee-knoxville in Mathematics (M) at University of Tennessee - Knoxville.

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Date Created: 10/26/15

Math 119 Departmental Common Final Exam Page 1 of6 Spring 2010 Instructor s Name Student s Name Evaluate each logarithm g 1 f 3quot J quot3971 A log216 C B lne C log31 3 D log X 10 r 50 2 WZ39 l l O 27 5 The function g x lx5l 2 is related to a parent function f x A Give the name or equation of the parent function f x abSaliAa value an 90le B Describe the sequence of transformations from fx to gx in words Q eH 5 AMA L C Sketch the graph of g x on the axes provided A company producing calendars has fixed costs of 5000 and variable costs of 2 per calendar The company sells calendars for 10 each Let x be the number of calendars produced and sold A Write the cost equation C Czax5bw CzlxlBoool B Write the revenue equation R L R Ox 7 R lOX C Write and simplify the profit equation P J QC lor lx t wb ms u l lox Zx 59 00 2 5quot 396 Use the one to one property of exponentials to solve the equation 4H3 82 79c 2 36 95gt awe 9w Zyvkb9l9 94X 1 4 H H gtlt n Nquot Math 119 Departmental Common Final Exam Page 2 of 6 Spring 2010 Instructor s Name Student s Name Consider the line represented by 4x 6y 12 4 X 441 A What is the slope of the line 1 i L A E 3 7 x 439 2 B What is the y intercept as an ordered pair B 5 C What IS the slope of any line perpendicular to the line m part A C E Use the graphs of f x and g x below to find 1quot quot 939 g10 a o 39 1 2 3 4 5 6 7 i x s a l 39 2 f go A Rewrite the radicalexpression in exponentialform x A A fg 2 A B m 3m A l gof0 3 z 5C9 B 5 5 3 35 3 3 B Evaluatetheexpression16 5 Q B 8 Factorcompletely 3x2 2x 8 1 a 5M XX 1 Solve 2x 1437x2 2x4 4 gm 0 3x 2 le 0 le lb l Hx 92 39 My lA i V Math 119 Departmental Common Final Exam Page 3 of 6 Spring 2010 Instructor s Name Student39s Name 10 Circle True or False for each statement x3 2x3 3 1 7 I39 x E 2x3bx zx2 3x True 4 1 1 7 5 x 3 3x3y2 3 j i 3y2zl Z X393 a 2 False C 2e 3 1 QCI3 quot False D Jr2x522x2 5x2 True ZXfMS begsvxe mull3ft Insert the required factor in the parentheses 1t 2 4 3quotquot X37x 2 X x 7 X537 12 Consider the polynomial function fx 5x8 3x7 x2 1 1 H 39 19 A Describe the end behavior off 3 u q 0M IV A oi l an 3 quot L O I U B Circle the choice that best describes the turning points off W 8 a fhas 9 turning points b fhas a maximum of 9 turning points c fhas 8 turning points f has a maximum of 8 turning points Giveth dom 39 fth d 5x5 6 53 39 e aln 0 e ex reSSIon USln Wor S 4 aJlLrw W5 exempt xe i 5 1 w Math 119 Departmental Common Final Exam Page 4 of 6 Spring 2010 Instructor s Name Student s Name 14 Perform the operation and simplify 2 2 Q a o 4392 75114 92 15 Write the slope intercept form ofthe equation ofthe line that passes through the point 2 4 and has a slope of 6 Then sketch the graph of the line y ymlt3quotgtcigt Y yr i 00 2 W oX IZ 7t U 2X I x 16 Find the difference quotient L h at 0 and simplify your answer fx x2 5 You must show work W hhm thh Cl 17 Which of the following expressions are equivalent to2x1 2 Circle all that apply A 2x12x 1 2x12x1 SQ DAN S c 4x21 4x24x1 Lfyz 4 4x n g zzw Math 119 Departmental Common Final Exam Page 5 of 6 Spring 2010 Instructor s Name Student s Name 2 18 Solve the equau90lt 2ltgt X 3 x1 X y 4 x x39L 2 l 2x x3o i angx39 0 X Z 19 Find all the real zeros of the polynomial function f x x3 3x2 9x 27 Kg 3x9quot W77 0 X va3 x3gt 0 ll l I 7 X 730 5 X 5gt X 67 0 V X3 20 Solve the inequality Give the answerin interval no tion 63 L I LO 55 X Of 3 E3 77 21 Use the graph of y 3quot shown below to sketch the graph off x 3quot 2 Be sure to include the asymptote as a dotted line leg dam 1 Math 119 Departmental Common Final Exam A Fall 2009 instructor s Name Student s Name 1 Solve using the one to one property 22H 16 erl El 6 2 Given the set r7 0312 2v37t5 list the following A the numbers that are integers 7 C a g 5 B the numbers that are irrational Q 5 3 il 523 339 Solve the eCluation for x kxwki x74 2 4 X3 9b gxkb 39xq gZ X 3 Xixl 2 x2 X O x o 4 A Which of the following is the equation for the graph at the right Circle your choice e r 39 goev ii fx x4 2x3 iii fx 2x3 3x 1 1 3 2 4 W x x x B is the multiplicity of the zero at the origin even or odd g W5 Page 1 of 7 Math 119 Departmental Common Final Exam A Fall 2009 Instructor s Name Student s Name 5 Find the slope intercept for of the equation of the line passing through the points 0 1 and 5 2 Then sketch the graph of the line on the axes provided s W 2 g H x eeoquot 5 5Xe03 5 K 2 Z Z 5 9 6 Solve and write the solution set In Interval notation 2 L a 6x44 4 9 1 we 7 Factor completely 9x2 1 BXHBC SX 8 Solveforx 68x 40 Ky Xi le 3x quot3x 3 0ampon 2 Page 2 of 7 Math 119 Departmental Common Final Exam A Fall 2009 Instructor s Name Student s Name 9 Write the equation for the function shown in the graph r i U 2 pawml tiff 0 1 t I fa quot4 43 xh x 10 Let g x 2x 6 Find and simplify the difference quotient g when 11 i O 53wa 9quot ex quotQ 2 V 24 n 11 Circle the expressions that isare equivalent to each given expression Circle all that apply A 3x62 is equivalentto 3X93X9 5 9x2gbx a Eggig isequivalentto e 1255 C ti x X L 7 4x1 12 Solve for x 63 2x2 x 2 0 Il 16442 m xvi Q 0 A R 3 v m 3x 22 iii 9x2 36 iii 12 klyxz m Q X Q l x LKXx D 2 3 Page 3 of 7 Math 119 Departmental Common Final Exam A Fall 2009 Student s Name Instructor s Name 13 Find the vertex off x x2 6x8 Write the answer as an ordered pair 5 gm X 206 2203 3 Qiiom aawigwa WW3 4 14 Consider the function fx 10g2 x 2 3 leii2 as 3 Which of the following is the graph of this function A Circle the letter corresponding to your answer a b d i y y 8 8 6 6 4 2 i 39 2 b d B What is the equation of the asymptote of this function Page 4 of 7 Math 119 Departmental Common Final Exam A Instructor s Name Student s Name Fall 2009 15 Find the domain of the function Give the answer in inequality notation X23 2 hx x 4 3 x33 gt Q be olizmm 7quot EV Canmi equal 0 X gt 3 16 Condense the logarithmic expression 210g3 6 5 310g3 x 2 3 OC33 8 2 3gtQ 17 A Write the radical 6 4 using rational exponents ll all L B Evaluate 1634 8 l q 3 3 3 l lb Q 18 Perform the multiplication and simplify x2 2x 15392x2 4x 2x2 x6 x3 X 1 5 Write the fraction as the sum of two or more terms Then write each term so that it has no denominator other than 1 You may need to rewrite using negative exponents Each term should be simplified 2x53x3x2 4 92x5 gifgfatl 3 x3 73 5quot X X3 3 02X Z 3 4 XviN3 Page 5 of 7 Math 119 Departmental Common Final Exam A Fall 2009 Instructor s Name Student s Name 20 Solve for x log2 x 2 3 4 2 Z gzadz 3 DQE 1X y 2 21 Sketch the graph of the piecewise function fx x 3 ifx22 x3 ifxlt 2A 22 Give the domain and range for the function fx 2xl 2 The graph is shown below Write your answers using interval notation A Domainggooibol B Range 00 Page 6 of 7

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