Exam 2 Key - Fall 2006 - College Algebra Exam #2 October...

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Unformatted text preview: College Algebra Exam #2 October 20, 2006 Name Show all your work on this paper. Solutions without correct supporting work will not be accepted. All answers must be exact unless indicated otherwise in the problem. You must omit one problem by clearly writing “OMIT” by the problem number. If you do not omit a problem I will omit the last one for you. You may work the problem you omit for up to 5 points extra credit if you wish. 1. a. Write the equation of the line that passes through the points (-2,3) and (5,4). Write your answer in slope- intercept form. mr,t2?2__31/7 Yegt’éawLZQCIPH {7+ ‘7‘ 2570109 b. Write the equation of the line that passes through the point (3, -4) and that is p ' ular-tothe—lifl 2x + 5 y = 3 . Write your answer in slope-intercept form. 652-2x1r3 i m: afar—#5 owllttl: 5/2003) Opt) W4 3%X~—’§, 2. a. Determine how the graph of y = —2|x + 31-1—1 can be obtained from the graph of y = lxl . Clearly list all ) translations, shifts, reflections, and shrinks/stretches. (A? Fig R ave/u X: Mi 5 VW sued/1 02) 2/- 2x — 1, x < 1 b. Graph f (x) = by hand. Make sure you show your work. —x—l, x21 3. Given f(x) =2):2 ~3x—1 and g(x}:v5—2x , find: Domainofg: grab) 5 > db X 4 52— W}. ___f(x+h;—f<x> : 4x +2?» 8 2am": SCBLHnl—r e 2 53%| : Ll xh LZh -3}? h 2&2 Jr be +le - XrShdl ~2XL+3>L+I : Dr X Jr 2h _3 '5 h C- (g°fX2)=__E_MW(5p+) KWZBWMD = 3m : its—i :i3 4. If an object is thrown upward with an initial velocity of 64 ft/sec, then its height after t seconds is given by h = 642‘ «161‘2. Find: a the maximum height the object reaches above the ground ' (e no): (94 (2,)- leaf: new 2 3%) t . the number of seconds it takes the object to reach the maximum height :“fiazg—(‘zffig _ c. the number of seetfids it taklei'for thzer obj act to hit the ground L)" ) 0:1et(4s-a~/ £24 (Pg 5'. Write the equation of a rational function that has the following features: x—intercepts: (-1,0); y-intercept: (O, -1/9); Vertical AWX—EQTX” , N0 Horizontal or Oblique Asymptotes; Hole at x = ~ . j fl CxeXmsXXHl) 6. Write the equation of a polynomial function that has the following features: The graph crosses the x—axis at (-2,0) and (3,0); the graph touches the x—axis at (0,0) and (5,0) but does not cross at these pomts; the graph has at leastlmrnth Mung Cnrrm‘ answers ‘1 but ‘HML, W newt: Jib at W 8, 7- Given f(x)=:x4 +23:3 —7x2 “8x +12: _ a. List the possible rational zeros. j: l ) 2 ) 5 J 4-) to ) l @ b. Find the zeros manually. M 3: (x~2)(x—I Kzr‘éxHo) 241‘ 9- ‘7 ’9 ‘2‘@ L (HZBOUKB) c. Factor completely. 8. a. Simpli 24’ .(l 1+4z‘ —Qifiq Wt aw“ d1?“ 9’ 9. It took Georgia 4 hours to travel upstream 1n her boat. The return trip with the current took only 2 hours. If b. Solve 2x2+4x=5 QX2+4JC-§ 10@ Ya: *4 i IbeLHer ) :_/fl: the speed of the boat in still water was 6 mph, find the speed of the current. Remember that you must Show your work. n ‘ E Cb and"? UV‘“ Lei L" W63 “(0’0 : Z'UOHO@ 24'4x:\1t2“ \Z:Lo>< Q) ‘m 2/:x 4 Jo (er—o : atom—3) QB gox-]_Lo:81><~2 b. Solve: (x + 2)(x —1)2(x + 5) < 0 10. a. Solve< 3(5x~1)=9x“3 >320 11. Selected values of the stopping distance y in feet of a car traveling x miles per hour are given in the table. (in m u h) in feet) In a. Find a linear regression line that models, the data. ,Write your answer,.i.nslope:ifllfl‘-l§lif2l§l§nd approximate to 3 decimal places. I (0 J b. Find the correlation coefficient. What does this tell you about your model? , i “We 3'ng waiti- C. Use your model to approximate the speed of a car that leaves skid marks on the highway that are 290 feet 2,1010: (9-er zozioéfl ...
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This note was uploaded on 01/12/2012 for the course MATH 1204 taught by Professor Duck during the Spring '08 term at NorthWest Arkansas Community College.

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Exam 2 Key - Fall 2006 - College Algebra Exam #2 October...

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