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Math 201  Test 1 ASHMBLE In problems [7 below (valued at 5 points each) indicate your choice by circling the preceding letter. For all other problems, show
appropriate work to receive credit (value indicated) and place your answer in the blank provided. Calculators are not allowed on this
exam. Formulasyou may need on this exam: D =RT, A =1 X W, P = 21+ 2w, A = ’/2 bh, A = ’/z h(b, + b2), 1. Solve fory: %y + %(y—3) = Lil
a.) — 15/11
b.) 6/5
o.) 21/11
d.) 60/13 6.) None of the above 2. Solve for r: A=P + Prt A—P a.
) Pt d.) P +Pt e.)A~P—Pt 3. Solveforx: ,/x+6 —x = 4 a.) 5 and 2 only b.) 2 only c.) — 2 only d.) — 5 and — 2 only 6.) None of the above 4. Solve forx: x4 — 6x2 + 5 = 0
a.) 21:1 and i 5
b.) 2 and 3
c.) —2 and —3 d.)i1andi«/§ e.) None of the above 5. The solution of 2(4x + 3) _>_ 8 — 4(x —— l) is:
a.) x S —1/2
b.) x 3/2
c.) x —2/3
(1.) x 1/2 e.) None of the above /\ IV IV 8—3x 6. For what values of x is 2 3 ? 7. Ifﬂx) = 2x—3, then M = h
2x + h — 3 a.) — h
b.) 2
c.) 1
d.) 0
6.) 2h x x — 4, x < 2 _
8. If ﬁx) = ~2— and g(x) = : (2 pomts each) 2x ~ 4x x2, x > 2
a.) What is the domain of ﬁx) ? b.) Evaluate ﬂ— 1) :
c.) What is the domain of g(x) ? (1.) Evaluate g(— 1) : 9. Give an example of a 3rd degree polynomial function: (2 points) 10. State the domain of the function f(x) = (/x ~ 1 : (2 points) 11. In the problems below, establish an appropriate equation or inequality and solve. You will not receive credit for a
trial and error solution. (a: 7 points, b: 5 points) a.) A company produces ﬁgurines at a cost of $3 .00 per unit. If ﬁxed costs are $1.5 00 per month and each unit sells for $8,
how many ﬁgurines must be sold in a given month to break even? How many ﬁgurines must be sold in a given month in order to earn a proﬁt of $6,500 in that month? b.) A fence is to be placed around a rectangular plot so that the enclosed area is 800 ftzand the length of the plot is twice the width. What are the
dimensions of the plot? How many feet of fencing must be used? Dimensions: Fencing needed: 12. If f (x) = x2 — x and g(x) = 2x, ﬁnd the following: (2 points each)
a) (f +g)(x)3____ b) (f g)(x)1 — , 0) (f g)(4)1 d.) (fg)(x): __ e.) (lg—xx): __ f.) (f°g)(x) :m g) (8019(4): — h.) Identify limits on the domain in part 6 above: 13. Find the inverse function of f(x) = 3x + 5. Show all steps. (4 points) f "(x) = l4. Identify any x axis, y axis or origin symmetry in the relation Sx‘ — 2xy + y z = 0. Show all appropriate steps.
' (5 points) 15. Sketch the graph of 4x2 + y2 = 16, using x and y intercepts and results of symmetry tests. (6 points)
Y
Identify: x intercept(s):
y intercept(s): Any x axis, y axis or origin symmetry: 16. In the blank to the left of each function listed in Column A, place the number of the graph in Column B thatrepresents
that function. Each item in Column B may be used once, more than once or not at all. (2 points each) Column A Column B a.)y=/(x)= r+ 1 b.)y=j(x)=2x2+l c.)y=f(x)=— 1lx~l __ d.)y =ﬂx) = e.)y=f(x)=3x—l ...
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This note was uploaded on 03/26/2012 for the course MATH 201 taught by Professor Smith during the Spring '08 term at Washington State University .
 Spring '08
 SMITH

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