Math118 winter06 test1a

Math118 winter06 test1a - 0 WINTER 2006 M1 1 8 I Name «5...

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Unformatted text preview: 0; WINTER 2006 M1 1 8- I Name «5 Date TEST # 1A A Graphing calculator is not allowed. Please show your work in order to receive a full or a partial credit. “‘r Please encircle (or box) your answer at the end of- your work in each problem. ' RELAX!© I. Solve for x: . 67y “1- 5'5 + r :1" a)\/l—2x+x/x+5=4 ’ __ ' , '-=.:5eZ—LI=2.8D /\ {I7 \‘5 i 'r ,. l 1‘ .l 15" [gr ‘1‘ ‘ g ;_ 3,;- ' = .'/ "x 2’0; 47/ " \ ’2 " \/ 61-“? 4‘3 " :C- 0" r “ "- ~ - » . ../ fzv’ wfix’ «o :4." w - 4 V 72 ‘7: ,V A. , v. ‘, f r x :2 a i“: 1}! \p 1:. ' V f :‘x, 7' c. ‘ F. , .“i’ . e I I 1' 1" ’ 1‘ p (‘3‘? v :1 5’ I h t ‘ I ~' I M - ' a.) 12) Use the graphs of R and G to find: a) MS) 5 b) FindxifR(x)=2, x 6) ('R+G)(3)= Rails} + G5 " d) (GR)(-2)= C162) . F: j» e) (G 019(0): G (_ {pi}- f) Find Average rate of change of R from x.’= -2 to x33 5 ‘ , 2 . g - 57:5: {- Ki} . [.2] 3’('2.) 5 III. Solve for x: , x‘——8x—9 » Mn H I." " x—l \ ( V -— Cr} "F E 1 ~,,.f.,‘ .1 r f» “1' I”) ...- k. u , ,. 3126” “I \ ,V 5» iv xrlo '7 z .-.r ~ _::> - ( 75 «‘6'\. *3 e R 2 5'?! a 7.,“ -<~- '”"’ /L,) .0 ‘9‘. M “V_ ~ .«I -> ‘ Z !O_ I a 'V 4. it ~ “ .J -\9 K -a :2 “1;. ' - 2; ._r - ' fld‘: r,., f g .3 ’;\t/T""5”’,}é : , . a :, u ~ 7 § W VII. Give the definition of a one-to-one function. IT IS DONE. Extra credit?! EXTRA CREDIT: Assume that the domain of F and the inverse of F is All real numbers. Solve the equation for t using the given information: - 1+1 _ I F‘ —— =12; F(12)=l3 1—2 I :H r- ...w "we :r. if," “ «2—»: g o—‘ w , ,\ -_, a-) W Zer firm" i)”, :j‘ I -v‘ .1 “i? 1;;- i 7‘ 5 fig ' -' .1; j (2) a Simplify: §=Z 2 True or false? Explain. If two lines are perpendicular and the slope of one is ‘/2, then the slope of another is 2. @ [Fa/SE! 61%;, m,=§/¥=7 mz=—2 lg. 15 it possible that a parabola have no y-intercept? W Won. fix! a»? m /—eaca/a¢/y_j [hjerceff Li M' M Md 0mg?” ’7‘ {Me a vu- - wJme‘e DIM-0f ‘4 defined 0-11 (“MI-FOO.) Algebra and Word Problems 1. Perform the division. Write your answer in a+bi form. . . - ~z . 7-1' 7—; (—I—L) _ W = ‘8’!“ _ @ -1“; -I+L (—l—L) (-1))4/2 2 2. Let f(x)=3x+'l and g(x)= -2x+3. Determine the average rate of change of (fogxx) (Jafiyx) = SFZx-I—B) +/ =—éx + 9-H =-— bx +/o ARC =m= q .3. Find two positive numbers whose sum is 12 and such that the square ofthe lst number plus twice the square of the 2ml number is as small as possible. I a+b=lz =>lb=/2——a_ a I 2 2 /F:01+251=laz+2//2—o/) =0 +2//4¢—244+4j [IE/a) = 303— 480 +235 ’tf‘ =>mm m —/—l/8) __ fig __ __ - @ IA: 23 — 6 ~8abesf’ahpzce 07(73:_ /-< :: W” D h f Isl 23. 4 ‘f 3 5' 2. Given: yz—xflxZ—x“) z—jzx +X a) What is a graph of this function? Why? "rising Snake "' [225 def = 5 ’3 add 2 L2) May +92 find/raj coeff. >0 b) Find x- and y- intercepts. x—im‘ : A —- g/x 3+ X = 9 =0 4 2 C5) X3/“2 + X =9 3 c) Use text points to smooth the graph. Tesf‘Pn-fs: ,_ x=l —L/(-/)3+{—i) =4—/=3 -4(I) +0) = —L}+/=—3 , y —-) - be as x -> ~00 e, d) End behavror: '-_“ y —) + be as x ——> +00 -2(x—1)*(x+2)5 . ’ 3. R x = 15 Given. U (2x~4)“(x+1)“ ° a) What is the leading term of a polynomial in the denominator? (‘2) -2x3x‘ = -.7.x8 #- b) What is the leading term of a polynomial in the numerator? I I! 4 ' 8 M @ x) X = / 6 X c) Write the equation of its horizontal asymptote? .' - 2 x s _ , / 4* L2) 5 — /6x 9 —/S?/ g d) Find vertical asymptote(s). 2 x _. 1+ = o X‘l‘l = 0 @ MlEEl ><=-' Extra credit: How many times does the graph of the polynomial function ‘ y = x3 (x —1)2(x + 4)(x - 3)4 cross the x-axis? Explain your answer. ’9 7’7'mes. 32247492 4977/ have 4 X— MS X=DIX=II X=-’7‘) X=3 ...
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This homework help was uploaded on 02/08/2008 for the course MATH 118 taught by Professor Satff during the Winter '00 term at Cal Poly.

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Math118 winter06 test1a - 0 WINTER 2006 M1 1 8 I Name «5...

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