s1, o o o — _1 9) 1’ 5) C D %.—‘ CL II - — C _.)) -1- I’ -r -r 3 3 — 3 c -- r — + %JJ L,J 1’ C ‘—i - I u ‘I 3 , —. II 0 %___ - — __5 (_,J — ____.i 0 cc (/J5 o - r - r — I )- - r r - CD CD - : - 9 ( - -, ‘t3 —. ‘—j 3 — ) C - C’ I 2 - —‘ V CD CD ‘— CD jj. (Th — C 3 ‘ ) -.. ‘-.— — 0- — - — (Do .- ) : c) r+ —. —. z 10 (Lñ 5.) How many different ways can you arrange the 6 letters a,b,c,d,e,f into ‘words’? (for example: bacdef is a ‘word’) cie. ( c-eh Lj3 6.) Write out Pascal’s triangle to the row n=4 and use the Binomial theorem and Pascal’s Triangle (4-L’) 4 to factor out (x+y) 0 /L4\ ‘ )x y 0 i 3 ()3 )- /Lj 3 I ()x 3 C 4())( +x and g(x) 2 7.) If h(x) = x a) goh(x) = )I x-2 solve for: = (x x b) hog(x) (-) (x-)z +X 2 9 8.) Find the domain and range of the following graph: (3L oe -(C-r \l1 CLA-’L-C\ frrn yj- (i,-i) (s,-i) -‘ )\(tLcXQ._(i, LI dL.J 9.) Given the graph from problem 8 of g(x), graph h(x) transformations = g(x+2) and j(x) = - g(x) using graph b) j(x) a) h(x) (s,-i) c S’;c(, (L( 10.) iff:IR—41R and f(x) = 3x-4 using the ideas of one-to-one and onto decide whether or not f(x) has an inverse function One_- — b- Cfl o(ii-’’ hue- e)r ‘I — 3).’\ pj D’L 0 c “— 1Zc1_jA find g’ (x). (Assuming the implied domain x —3) 11.) \/ (x3 )(-9 3 xy-X y3 - x(-) y3 x ‘Cy) c2.J ‘- o5 c (\ Cj -‘ y_’J C)(() 12.) What is the implied domain of the function f(x) 3/—2x+4? (oc-5 cvy-i 4cr C’ c’— E- L’”’ 0 (‘-- JvL 4x 5x— 7) 2 — 3 (2x + express your answer with the remainder if you find one. 13.) Solve 2x—4 X +OX+ x- ( Lv’) 3 14.) Graph the linear polynomial function p(x) y-axis ——* —* — -1—— = - 5. —— S -s 4 3 k: ‘(r 1 2 —-- x-axis - - -6 -S -4 -3 -2 -1 1 2 3 4 5 6 0 -6 - 3/9 —(9 1F. 15.) By completing the square (formula: p(x)= a(x+_)2+ c—f—) Graph the quadratic polynomial p(x)=2x +4x—5 2 c—S \D1, — ()a - — 2 i) ;) - Oj{Cri yaxis S 1’ --4 — * — — — 2 j / \‘ — \/ 4.... -6 — x-axis .....‘ -S -4 -3 -2 - 1 -1 2 - 3 - 4 5 6 :::E:7:::: *---\-t--*** .\r ‘7 1 V - — >c: >< p ( LJJV ç3D >- 1JT( C -t (P (P C (p rD -s 1 x - -. 9-) ‘-I I, 5., C I’ -r ) — -r ., p —. v >‘. -r x 9) — ‘I _— .1 rt cm C’ + - xc LI %-, -V 18.) Find the vertical assymptotes, x-intercepts, and the leading order term of the rational function (x+4)(x_3)(x2+1) 3(x-1)(x+2) of s cctr) çj r 4c(y I C Lo (c.r) 3(c Lb1 19.) Using your solutions from problem 18, graph r (x) — y-axis C<() ( (i.) ,\ 3 3)( x+4)(x—3)(x + 2 1) 3(x—1)(x+2) c— ((c) -z Cf.) 0-.) ( r(-3’ c.)(-)t). (t) x-axis (-) (-) (3-) ci \ .‘ — .— \ —- k .“ p , — 0 LI 4. AI I-J ri I In ‘p - r — -‘ — S -‘ — — 0 — IT C C C C C - . I-. t — - ..—. ( £ 1’- + C? -p £ (I, ( ± >( CD (c> f—( C) — —i-’ Lfl __( .7’. C. CD ><c_-p I CD>( CD I %I -r 0 >< ‘ uJ LEi ( p—’ •9) ,—. UI II g CD (cD OL’ (fiL — ç;.) (ID C p { 23.) If g(x) is a peicewise defined function with g(x)= 2x —x if xe(—c, 2) if xE(3,5] —3 ifxE(5,cx) then evaluate the following if able, and if not possible write undefined and state why 0’ (-c a)g(O) ) 0 co) b)g(2.5) (c2) ( (c s c) ‘ fl— I- 1\c- cL-cri o c) g(6) = - 24.) Graph g(x) from problem 23 y-axis \ ecj’c 6 5 -( 4 — I q 3 2/ •1 — ••• x-axis -6 -5 -4 -3 — — -2 -1 1. 2 3 4 5 6 )c/ 3 Li -2 -3 -4 - L.i 5 1 ; —3 S -6 (2 -3 3 (3 25.) Solve the following system of equations for x and y. } ( 4 X1 2x+4y7 (3x—2y=—5)c2 (ç 4 --\j - 9 /7/7? LI / S -‘ /I / Lf 8 I 26.) Is x = 1, y = 2, z = 3 a solution to the system of three linear equations of three variables x+y+z6 2x—y+3z9 —x+y—z—2 () ( () () +-\( -(‘ 4 ( / I - 3(3) -aI —(3) 3 I—2\ 27.) Find the product of(1, 3,2,0) () ( \7) (3) () ( (- i () ( -4- + 00 ,— L-; r1 (uIc Th ‘0 r J C-’ —4- Ii 0 N -o 2 LU - C LU LU LU - ç) (‘S & — 2 Jç) ‘L I — 1) CI 4-. - C 4-. (ID C - - N II 1 L — — V” (-( I II NN 1+ >-. rDOON 3 UI - çf) V)coc — I — II ç N (ID . c . 0 —It II r C Z c ci) I c c ci) 5 C > N — — — — 0) r— i—’-- V? r o 4 t- — -_I c— 0 r-T —• — _.1 -• I -1 r’ 4 r — * — 11 3) — ‘— r’ - _9-;__ .._s (—b OD