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Unformatted text preview: Assignment 3
This is take home assignment 3. Be sure to mark all your answers on a scantron form 882 and turn in by due date as stated on your syllabus. You do not have to
print this assignment and turn it in to me; all I need is the scantron. It is important
that you get minimal assistance on this assignment and understand how to work
these problems on your own as the inclass portion of the exam will involve similar
types of questions but with closed notes. 1. The slope of the line passing through the points (4, 5) and (3, —2) is ?
(a) 1 (b) 1 (0) 3 (d) 3 (e) 7 2. Determine an equation of the vertical line that passes through the point (3, 6).
(a) 3y = —6x (b)x = —6 (c)y = —6 (d)y = 3 (e)x = 3 3. Determine an equation of the line that has slope :3”; and y—intercept 7.
(a)y = :5ix+7 (b)y = fsix—7 (c)y = ;54x7 (d)y = ‘5£x+7 (e)Noneofthese 4.Which of the following pairs of numbers indicate slopes of two perpendicular lines ? 4 4 _4_ mi _4_ .19. .4. 32
(a) 1—9379. (b) 19, 19 (c) 19, 4 (d) 19, 4 (e)None ofthese 5. Find the equation of the line that is horizontal and passing through the point (1, 3).
(a)x=1 (my: 3 (c)y= —;,— <d>y= _%,x+5 (ex = —1
6. Find the equation of the line passing through the point (—2, 10) with slope 3.
(a)y = 3x16 (b)y = §x+ % (c)y = 3x+16 (d)y = 3x+4 (e)None ofthese 7. Find the slope of the line : 5x = ~4y — 9
(a) % (b) —% (c) 14 (d) —% (e) 31; 8. Supposel) = —5 and ﬂ—Z) = 4. Find ﬁx) if f is a linear function.
(amx) = ;—x — % (bmx) = %x + i} (cmx) = ~3x — 2
(d)f(x) = ~3x + 5 (e)f(x) = gx + ~§ 9. Suppose f is a linear function with slope —2 and such that ﬂ3) = 4. Find ﬁx).
(a)f(x) = —2x+ 10 (b)f(x) = 32ix+10 (c)f(x) = ~2x+ ~11?
(d)f(x) = ~2x~10 (e)f(x) = ~10x+ 2 10. Suppose the cost of producing 5 units of a product is $11 and the cost of 6 units is $18. If cost C is
linearly related to Q, ﬁnd a linear equation relation C and Q. (a) C = %q + 17% (b) C = 7q—~24 (c) C = 2g + 1 (d) C = lgiq—z (e) None ofthe above 11. Suppose that consumers will demand 100 units of a product when the price is $10, and 120 units
when the price is $8. per unit. Assuming that price p and quantity q are linearly related, ﬁnd the price
at which 90 units are demanded. I (a) $7 (b) $9 (0) $13 ((1) $12 ’ (6) $11 12. Which of the following functions is not a Quadratic ? (a) 7x(x + 5) (b) 22” (c) %—x2 + 9 (d) x2 —2 (e) 14x2
x
13. Find the maximum value for the function: ﬁx) = —x2 — 2x + 7. (a)7 (b)9 (0)8 ((1)10 (e)11 14. Find the Vertex for the following: ﬁx) = —3x2 + 12x + 4
(3) (4,20) (13) (2a 32) (C) (—224) (d) (2: 4) (6) (2,16) 15. Find the xintercept(s) and the yintercept for the following: ﬁx) = ~3x2 + 11x  10
(a) X—intercept:(—5~,2), yintercept:(0,—10) (b) xintercepts:N0ne, yintercept:(0,—10)
(c) xintercept:(§, 0), yintercept:(2, 0) (d) xintercepts:(§—, 0), (2, 0) y—intercept:(0,—10)
(e) x—intercepts:(0, —§), (0, 2) y—intercept:(—10, 0) 16. From the graph determine the Range of the function. (a) y 2 5 (b) y 2 0 (c) y S 0 (d) y S 5 (e) all reals 17. The projected population P of a city is given by P =6000(1.25)’/2°, where t is the number of
years after 1995. Find the projected population in 2005. (a) 2794.0 (b) 3750.0 (0) 5. 625 x 107 ((1) 6708.2 (e) None of the above 18. Evaluate e439
(a)11.6614. (b) 0.4563 (c)—3.3201 (d) 80.6404 (e) 72.9665 19. Evaluate e75 r
(a) ——16275. (b) —.301 19 (0) —3.3201 (d).30119 (e) 6.1442 x 10~7 20. The probability P that a telephone operator will receive exactly x calls during a certain time period is 9:13" . Find the Probability that the operator will receive exactly 4 calls. given by P =
(a) 1.0082
(b) . 16803
(c) 67. 789
(d) —67. 789
(e) 2. 561 l x 10‘5 21. Graphy = 3". ...
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 Spring '08
 alkhaz
 Algebra

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