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Unformatted text preview: Student: Shanna Hawxhurst
Submitted: 02/25/09 7:54pm Instructor: Christine Curley
Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200: Preealculus Assignment: Week Seven, Quiz Four La) Find the inverse of the relation. {(3, —'8),(6. r'6),("5, —'3),(5. —'5)} The inverse is { (— 8,3).( — 6,6),( — 3. — 5),( — 5,5) }.
(Type ordered pairs. separated by commas.) Find an equation for the inverse of the relation
y=2x—T Complete the table for the inverse of y = 2x — 7". Choose the correct inverse relation. y=7—2x
x=72y
9': x=2y—?
x=2y+7 The relation y = 2x — 7 includes the points in the
following table. Graph the inverse of the function. f—42
(m—3x Choose the graph with the original function in red
and the inverse of the function in blue. Page 1 Student: Shanna Hawxhurst
Submitted: 02/25/09 7:54pm Instructor: Christine Curley
Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200: Preealeulus Assignment: Week Seven, Quiz Four Ln 6. Determine whether the function is oneto—one. f(x) = 2x 3 + 9
Is the function one—to—one?
U' Yes
No Using the horizontal line test, determine whether the
function is onetoone. f(x) = 2.5 x
Is the function one—to—one?
No
__.ﬂ
——
V' Yes [—5,5,—2,18]Xsc1=1Ysc1=2 Determine whether the function is onetoone. [fit is, find a formula for its inverse. f _2 +6
00 Tx
. 6 . .
Is f(x) = ?x + 6 a onetoone ﬁinction?
No V" Yes
. ._. . 6
End the formula for t (x), the loverse of f(x) = ?x + 6.
f"() 6 +6 ' f’“() 7 1
X = x =—x—
7"y 6
9:: _ 7" ' _] 7
f (x)=—x—7 f (x)=—x+7 6 6 Page 2 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Seven, Quiz Four Submitted: 02/25/09 7:54pm Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200:
Precalculus
?_ Determine whether the function is onetoone. If it is, ﬁnd a formula for its inverse.
ﬂ ) 6x  1
x = —
9x  5
Is the function onetoone ?
No
V Yes
_ _ _ _ I l — 5x
The inverse function 15: f (x) = — .
9x  6 8 ‘ I 2 _ X
Flnd the Inverse of f(x) = X Choose the correct graph of the inverse of the function. u _ I 2 _ 1 2
f = f =
x+1 xl
_. x _1 x
f = f =
xl x+1 Page 3 Student: Shanna Hawxhurst
Submitted: 02/25/09 7:54pm Instructor: Christine Curley
Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200: Precalculus Assignment: Week Seven, Quiz Four 10. 3
For the function f(x) = — determine whether f(x) is oneto—one; if so, ﬁnd a formula for the inverse, give
x the domain and the range for f _ I, then graph both functions on the same axes. Is ﬁx) a onetoone function?
No ‘4' Yes _ 3
The inverse function is f I — .
x Choose the correct domain for F— I below.
i: (—w,o)u(0,oo) 3‘ 3 (—00.00) (0:00) 3' (003)
Choose the correct range for f— 1 below.
( — 00,0) E ( — 00,00) V» (—oo,o)u(o,oo) : (0:00) Choose the correct graph for f and f _ 1 below. YOU ANSWERED: B Use a calculator to ﬁnd the value to the nearest tenthousandth. —.42
e 3 e ‘ 342: .0327
(Round to the nearest four decimal places.) Page 4 Student: Shanna Hawxhurst
Submitted: 02/25/09 7:54pm Instructor: Christine Curley Assignment: Week Seven, Quiz Four
Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200: Precalculus 1]. Graph the equation on paper, and then choose the
correct graph. y=4x Choose the correct graph on the right. How much money will there be in an account at the The amount after 10 years will be $ 148594? end of 10 years if $10000 is deposited at 4%. The (Simplify your answer. Round to the nearest cent.)
interest is compounded semiannually. (Assume no withdrawals are made.) Interest is compounded semianually. Find the amount in the account and the interest earned after the given
time. The amount in the account is $ 23 88.10 . (Round to the nearest cent.)
The interest earned is $ 388.10 . (Round to the nearest cent, if necessary.) Page 5 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Seven, Quiz Four Submitted: 02/25/09 7:54pm Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200:
Precalculus 14_ Graph the equation on paper, and then choose the correct graph. we)” 5 Choose the correct graph. Av
. . _ . x
_'_'_'_'__
’5. : 1 5
~5—'
15_ Graph the equation on paper, then choose the correct I} graph.
y =10g 6x Choose the correct graph. 16_ Find the logarithm. [0g T49: 2‘ log 1.49
YOU ANSWERED: 7 17_ Write as an equivalent logarithmic equation. The equation islog ( 1000000‘) = 6 _ 106 = 1000000
YOU ANSWERED: 101000000 Page 6 Student: Shanna Havvxhurst
Submitted: 02/25/09 7:54pm 18. 19. 20. 21. 22. 24. Instructor: Christine Curley
Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200: Precalculus Assignment: Week Seven, Quiz Four Use a calculator to ﬁnd the common logarithm. log 86 The answer is 1.9345 .
(Round to four decimal places.) Find the logarithm using the change of base formula. log 30.16 = — L668] (Round to four decimal places.)
log 30.16 Find the logarithm using the change—of—base 10g41 g = 2.0850 formma' (Simplify your answer. Type an integer or a decimal.
Round to four decimal places.) log 4 l 8 Graph both functions using the same set of axes. u 11x): 5‘, f— '(x) = log5x Choose the correct graph. t'(x) = 5 x is the solid red line. if I(x) = logsx is the solid blue line. Walking speed. The average walking speed R of a person living in a city of population P in thousands is modeled by the function, R(P) = 0.3?  In P + 0.05, where R is in feet per second. The population of
Kalamazoo is 27,000. Find the average walking speed ofpeople living in Kalamazoo. ft The average walking speed is 1.7 —.
sec (Round to the nearest tenth.) Express as a sum of logarithms. 10g Jr(34 . 15) = 10g 434 + 10g 415 log 4(34 15) Express as a product. log B(t '6) = 16( log at) 103 13016) Page 7' Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Seven, Quiz Four Submitted: 02/25/09 7:54pm Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200:
Precalculus
25_ Use log b8 = 2.079 andfor log b7 = 1.946 to find
8
lo —.
g b 7
l 8 133
o — = .
g b 7
26_ Use 1:)ng a: 2.079 andfor logb9 :5 2.19? to ﬁnd
logbR
logb9 I
lo 8
gb = .946
logb9 (Round to the nearest thousandth.) 2?, Find the indicated value of the logarithmic function. Choose the correct answer below.
elchSx — 3
logc(€5x_3) Vi 5x_3
3 5x — 3
logel 5x — 3
28. Simplify.
10og z
10log z = z
29, Solve for X.
42" ‘ ‘ = 16 3
The solution is x = 3 . (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers. Type N if the
solution is not a real number.) Page 8 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Seven, Quiz Four Submitted: 02/25/09 7:54pm Course: 903 CURLEY C, MAT 200 004 016
Book: Strayer University Math 200:
Preealeulus 30_ Complete the following table. Population Growth Rate, k Doubling Time,
T Country A 1.7% per year
Country B 36 years Population Growth Rate, k Doubling Time,
T Country A 1.7% per year 41 years Country B % per year years (Doubling time to the nearest whole number and round growth rate to the nearest tenth.) Page 9 ...
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 Spring '11
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 Calculus, Inverse function, Logarithm, Strayer University Math, Christine Curley, CURLEY C

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