(MAT200 -PreCalclus) Wk7 Quiz

(MAT200 -PreCalclus) Wk7 Quiz - Student: Shanna Hawxhurst...

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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=7-2y 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 one-to—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 one-to-one. 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 one-to-one. [fit is, find a formula for its inverse. f _2 +6 00 Tx . 6 . . Is f(x) = ?x + 6 a one-to-one 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 one-to-one. If it is, find a formula for its inverse. fl ) 6x -- 1 x = — 9x -- 5 Is the function one-to-one ? 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 x-l _. x _1 x f = f = x-l 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 one-to—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 one-to-one 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 ten-thousandth. —.42 e 3 e ‘ 3-42: .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 semi-annually. (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. 10|og 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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This note was uploaded on 01/19/2012 for the course MATH MAT200 taught by Professor Unknown during the Spring '11 term at Strayer.

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(MAT200 -PreCalclus) Wk7 Quiz - Student: Shanna Hawxhurst...

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