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Use an equation to solve the problem. -Joe Pearlman received a 2.75%2.75 \% pay decrease. His salary after the decrease was $36,955\$ 36,955 . What was his salary before the decrease?


A) $37,997.25\$ 37,997.25
B) $37,999.725\$ 37,999.725
C) $38,000\$ 38,000
D) $39,045\$ 39,045

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Perform the requested operation or operations. Find the domain of each. - f(x) =6x+6,g(x) =6x6f ( x ) = \sqrt { 6 x + 6 } , g ( x ) = \sqrt { 6 x - 6 } Find (f+g) (x) ( f + g ) ( x )


A) 12x\sqrt { 12 x } ; domain: [0,) [ 0 , \infty )
B) x12x \sqrt { 12 } ; domain: (,) ( - \infty , \infty )
C) 6x6 x ; domain: (,) ( - \infty , \infty )
D) 6x+6+6x6\sqrt { 6 x + 6 } + \sqrt { 6 x - 6 } ; domain: [1,) [ 1 , \infty )

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Find the (x,y) pair for the value of the parameter. - x=6t8x = - 6 t - 8 and y=14ty = 14 - t for t=1t = - 1


A) (2,15) ( - 2,15 )
B) (6,14) ( 6,14 )
C) (15,2) ( 15 , - 2 )
D) (6,1) ( 6,1 )

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Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x) =4x53x3f ( x ) = 4 x ^ { 5 } - 3 x ^ { 3 }


A) Neither
B) Odd
C) Even

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Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - y=9xx3y = 9 x - x ^ { 3 }


A) Bounded below
B) Bounded above
C) Bounded
D) Unbounded

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Find the asymptote(s) of the given function. - g(x) =x2+1x3x3g ( x ) = \frac { x ^ { 2 } + 1 x - 3 } { x - 3 } horizontal asymptotes(s)


A) y=1y = - 1
B) None
C) y=3\mathrm { y } = 3
D) y=9\mathrm { y } = 9

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Find the domain of the given function. - f(x) =3f ( x ) = - 3


A) [3,3][ - 3,3 ]
B) All real numbers
C) (,3) (3,) ( - \infty , - 3 ) \cup ( - 3 , \infty )
D) [0,) [ 0 , \infty )

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Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph gg - f.  Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph  g  - f.   A)    B)    C)    D)


A)
 Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph  g  - f.   A)    B)    C)    D)
B)
 Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph  g  - f.   A)    B)    C)    D)
C)
 Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph  g  - f.   A)    B)    C)    D)
D)
 Consider the functions f and g as shown in the graph. Sketch the graph of the indicated sum or difference of functions. -Graph  g  - f.   A)    B)    C)    D)

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Graph the function on your calculator to determine the domain and range from the graph. - g(x) =ln(x7) g ( x ) = \ln ( x - 7 )


A) Domain: (7,) ( 7 , \infty ) ; range: (,) ( - \infty , \infty )
B) Domain: [7,) [ 7 , \infty ) ; range: (,) ( - \infty , \infty )
C) Domain: (,) ( - \infty , \infty ) ; range: (,) ( - \infty , \infty )
D) Domain: (,) ( - \infty , \infty ) ; range: (7,) ( 7 , \infty )

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Describe how to transform the graph of f into the graph of g. - f(x) =x5 and g(x) =(5x) 5f ( x ) = x ^ { 5 } \text { and } g ( x ) = ( 5 x ) ^ { 5 }


A) Horizontally shrink the graph of ff by a factor of 15\frac { 1 } { 5 } .
B) Vertically shrink the graph of f\mathrm { f } by a factor of 15\frac { 1 } { 5 } .
C) Vertically stretch the graph of ff by a factor of 5 .
D) Horizontally stretch the graph of ff by a factor of 5 .

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Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Let f(x) \mathrm { f } ( \mathrm { x } ) compute the time in hours to travel xx miles at 36 miles per hour. What is the interpretation the solution of f1(x) =8\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 8 ?


A) The hours taken to travel 8 miles
B) The miles traveled in 8 hours
C) The hours taken to travel 36 miles
D) The miles traveled in 36 hours

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Fill in the blanks to complete the statement. -The graph of y=17x+93y = - \frac { 1 } { 7 } \sqrt [ 3 ] { x + 9 } can be obtained from the graph of y=x3y = \sqrt [ 3 ] { x } by shifting horizontally Fill in the blanks to complete the statement. -The graph of  y = - \frac { 1 } { 7 } \sqrt [ 3 ] { x + 9 }  can be obtained from the graph of  y = \sqrt [ 3 ] { x }  by shifting horizontally   units to the  , vertically shrinking by a factor of  , and then reflecting across the  -axis. A)   9 ;  right;  1 / 7 ; x  B)  9 ; right;  - 1 / 7 ; y  C)   1 / 7 ; right; 9 ;  \mathrm { y }  D)   9 ;  left;  1 / 7 ; x units to the11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 , vertically shrinking by a factor of11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 , and then reflecting across the11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 -axis.


A) 9;9 ; right; 1/7;x1 / 7 ; x
B) 9 ; right; 1/7;y- 1 / 7 ; y
C) 1/71 / 7 ; right; 9 ; y\mathrm { y }
D) 9;9 ; left; 1/7;x1 / 7 ; x

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Find a direct relationship between x and y. - x=5tx = 5 \sqrt { t } and y=8t4y = 8 t - 4


A) y=200x24y = 200 x ^ { 2 } - 4
B) y=85x4y = \frac { 8 } { 5 } x - 4
C) y=825x24y = \frac { 8 } { 25 } x ^ { 2 } - 4
D) y=85x4y = 8 \sqrt { 5 } x - 4

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Solve the equation algebraically. - x10x25=0x - \sqrt { 10 x - 25 } = 0


A) 25;1- 25 ; 1
B) 25;125 ; - 1
C) 5- 5
D) 5

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Identify intervals on which the function is increasing, decreasing, or constant. - g(x) =3(x+8) 2g ( x ) = 3 - ( x + 8 ) ^ { 2 }


A) Decreasing: (8,) ( - 8 , \infty ) ; decreasing: (,8) ( - \infty , - 8 )
B) Increasing: (,8) ( - \infty , 8 ) ; decreasing: (8,) ( 8 , \infty ) ;
C) Increasing: (8,) ( 8 , \infty ) ; decreasing: (,8) ( - \infty , 8 )
D) Increasing: (,8) ( - \infty , - 8 ) ; decreasing: (8,) ( - 8 , \infty )

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Use an equation to solve the problem. -A construction company builds a swimming pool with a perimeter of 50 m50 \mathrm {~m} . The length is 3 m3 \mathrm {~m} more than the width. Find the dimensions of the swimming pool?


A) 19 m×11 m19 \mathrm {~m} \times 11 \mathrm {~m}
B) 9 m×11 m9 \mathrm {~m} \times 11 \mathrm {~m}
C) 14 m×3 m14 \mathrm {~m} \times 3 \mathrm {~m}
D) 14 m×11 m14 \mathrm {~m} \times 11 \mathrm {~m}

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Solve the problem. -Determine graphically the local maximum and local minimum of  Solve the problem. -Determine graphically the local maximum and local minimum of   A)  Local maximum:   -2  ; local minimum:   -\infty   B)  No local maximum; local minimum:   -2   C)  Local maximum: 0; no local minimum D)  Local maximum:   -2  ; no local minimum


A) Local maximum: 2 -2 ; local minimum: -\infty
B) No local maximum; local minimum: 2 -2
C) Local maximum: 0; no local minimum
D) Local maximum: 2 -2 ; no local minimum

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Determine whether the graph is the graph of a function. - Determine whether the graph is the graph of a function. -  A)   Y e s  B)  No


A) YesY e s
B) No

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Write the specified quantity as a function of the specified variable. -The base of an isosceles triangle is a fourth as long as the two equal sides. Write the area of the triangle as a function of the length of the base.


A) A=154b2A = \frac { \sqrt { 15 } } { 4 } b ^ { 2 }
B) A=638b3A = \frac { 63 } { 8 } b ^ { 3 }
C) A=2b2A = 2 b ^ { 2 }
D) A=374b2A = \frac { 3 \sqrt { 7 } } { 4 } b ^ { 2 }

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Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x) =4f ( x ) = - 4


A) Odd
B) Even
C) Neither

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