81920 = 118k. is(are) true? I The domain of g( x) = (, 2) (2, )

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Kimberly Gilbert
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1 ) person's MI (body mass inde) varies directly as an individual's weight in pounds and inversely as the square of the individual's height in inches. person who weighs 8 pounds and is 64 inches tall has a MI of approimately 0.0. Find the approimate MI of a person who weighs 9 pounds and is 7 inches tall. Round to the nearest whole number. Hint: Round the value of k to the nearest whole number. kw 694w MI = MI = MI = h h MI = 7 k(8) 694(9) 0.0 = MI = MI = MI = 6 8k 0 0 = MI = MI = (4096) = 8k MI = 6.84 or 7 ) Given the functions f ( ) = + 6 and g( ) =, which statement(s) is(are) true? I The domain of g( ) = (, ) (, ) I, II, and III III only II and III only I and III only II only 890 = 8k 694 = k II ( f g)( ) = III ( g f )( ) = 9 I ny number can replace in the function g(). The domain is all numbers (, ). I is false. II ( f g)( ) = f = + 6 II is true. = = III ( g f )( ) = ( + 6) = 6 III is true. = 9

2 ) Given f ( ) = and g( ) = +, find ( f g)( ). ( f g)( ) = + ( f g)( ) = ( ) + f g ( f g)( ) = + ( ) f g ( f g)( ) = f ( g( )) = f ( + ) = + ( ) = + = + 4) Find the inverse function of f, if f f f f f + + f ( ) =. Switch the and the y. y = Multiply both sides by denominator. y ( y ) = y y = y y y = y( ) = = y f ) Fill in the blanks: The graph of f ( ) = goes through the point and the graph of g( ) = log goes through the point. Hint: Make tables of ordered pairs. g() is the inverse of f(). Reverse ordered pairs.,, (6, 4) f ( ) g( ) ( ) ( ),, (4,6) ( ),, (4,6) ( ) ( ),, (6, 4),, (6, 4) f ( ) g( ) , (6, 4)

3 6) Rebecca bought a computer, monitor, and scanner costing a total of $87 (including all taes and fees). Full payment is deferred for two years. She will be paying.8% annual interest compounded continuously. How much does Rebecca owe at the end of the years? Round to the nearest cent. ssume she makes no payments until the payment at the end of the two years. $ $94. $94.4 $ $94.7 = Pe rt = 87e = 87e (0.08)() = 87( ) = $ ) Which logarithm statement is false? 9 log = 6 4 log4 = ( e ) ln = 6 log 0.0 = log = 7 onvert each to eponential form. 4 9 = true = = false 4 6 Using rule log =, ln = 6 true b b e 0 00 = = 7 0 = = = 0.0 true true 8) The percentage of adult height attained by a girl who is years old can be modeled by P( ) = 6 + log( 4). Which statement describes the percentage of her adult height for a girl of age 0? Round to the nearest tenth of a percent. She has attained 89.% of her adult height. She has attained 97.0% of her adult height. She has attained 86.% of her adult height. She has attained 77.8% of her adult height. She has attained 8.% of her adult height. P( ) = 6 + log( 4) P(0) = 6 + log(0 4) P(0) = 6 + log 6 P(0) = 6 + (0.778) P(0) = P(0) = 89.%

4 9) Solve this eponential equation by epressing each side as a power of the same base. 8 = 4+ 9 = = 9 = = = = 8 = ( ) = = 4 + = 9 = 9 0) Use the properties of logarithms to epand the logarithm below. Simplify where possible. ssume the values of and y are positive. log log y 00 log y log log y 4 + log log y + log log y log0 + log log y 00 log y = log(00 ) log = + log00 log log = + log log y y y ) Solve: log + log( ) = = 4, = = 449 = + No solution log + log( ) = = = 4 log[ ( )] = Only checks. log( ) = The 4 makes a negative 0 = value in an argument. = = ( )( + 4) = = 0 = = 4 4

5 ) Solve this system of equations. What is the value of the y? y = y = 0 y = 0 y = None of the above. y = y = 9 y = + 4 It is easy to use substitution. + y = 9 + ( + 4) = 9 y = ( ) = 9 y = = 9 = ) restaurant with 0 tables only has 4-seat tables and 6-seat tables. If all seats are full, the restaurant has 96 customers seated. Let = the number of 4-seat tables and y = the number of 6-seat tables. Which system of equations could be used to find and y? + y = y + y 6 + 4y = 0 + y = y 4 = 0 None of the above. The total number of tables is 0. + y = 0 4(# of 4 seat tables) + 6(number of 6 seat tables) = number of seats 4 + y = 0 4 4) What is the radius of the circle with equation below? y y r = 6 r = 8 r = 74 r = r = = 0 y y = 0 ( 8 ) + ( y + 6 y ) = 4 ( 8 6) + ( y + 6 y 9) = ( 4) + ( y + ) 49 radius : 49 or 7 =

6 ) Which of the following quadratic functions (parabolas) matches this information? Opens downward, Verte: (, ) f ( + ) + 6 g p = + ( ) ( ) r ( + ) h The a value must be negative. Find the verte of each function. f ( ) = ( + ) + opens down, V (,) NO ( 6) g h k ( ) 6 opens down, = = = 9 6() = 8 p V (, 8) NO ( + ) opens up NO ( 6) 6 = = = = ( 4) 8 r( ) opens down, h h V k = 4(4) 6( ) 9 = V (, ) YS ( + ) opens down, (, ) NO 6

MA Practice Questions for the Final Exam 07/10 .! 2! 7. 18! 7.! 30! 12 " 2! 3. A x y B x y C x xy x y D.! 2x! 5 y E.

MA Practice Questions for the Final Exam 07/10 .! 2! 7. 18! 7.! 30! 12 2! 3. A x y B x y C x xy x y D.! 2x! 5 y E. MA 00 Practice Questions for the Final Eam 07/0 ) Simplify:! y " [! (y " )].!! 7. 8! 7.! 0! "! A y B y C y y D.!! y E. None of these ) Which number is irrational? A.! B..4848... C. 7 D.. E.! ) The slope