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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
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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
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Ki} . [.2] 3’('2.) 5 III. Solve for x: ,
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§ W VII. Give the deﬁnition of a onetoone 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
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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 yintercept? W Won. ﬁx! a»? m /—eaca/a¢/y_j [hjerceff Li M' M Md 0mg?” ’7‘
{Me a vu  wJme‘e DIM0f ‘4 deﬁned 011 (“MIFOO.) Algebra and Word Problems 1. Perform the division. Write your answer in a+bi form. . .  ~z .
71' 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) = SFZxI—B) +/ =—éx + 9H =— 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 __ __ 
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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.
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— g/x 3+ X = 9 =0
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C5) X3/“2 + X =9 3 c) Use text points to smooth the graph. Tesf‘Pnfs: ,_ 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?
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@ 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 xaxis? Explain your answer.
’9 7’7'mes. 32247492 4977/ have 4 X— MS
X=DIX=II X=’7‘) X=3 ...
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