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Solve the problem. -Find all points (x,y) ( x , y ) with x=yx = y that are 5 units from (9,2) ( 9,2 ) .


A) (−5,−5) ( - 5 , - 5 ) and (−6,−6) ( - 6 , - 6 )
B) (−5,−5) ( - 5 , - 5 ) and (6,6) ( 6,6 )
C) (5,5) ( 5,5 ) and (−6,−6) ( - 6 , - 6 )
D) (5,5) ( 5,5 ) and (6,6) ( 6,6 )

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Find the center-radius form of the equation of the circle. -center (−3,10) ( - 3,10 ) , radius 10\sqrt { 10 }


A) (x+3) 2+(y−10) 2=10( x + 3 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 10
B) (x−10) 2+(y+3) 2=100( x - 10 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 100
C) (x+10) 2+(y−3) 2=100( x + 10 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 100
D) (x−3) 2+(y+10) 2=10( x - 3 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 10

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A

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (4, -1)


A) x = -1
B) x = 4
C) y = -1
D) y = 4

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B

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0 , then replace 0 with yy . The graph of the equation for yy is shown. Use the graph to determine the solution of the equation. 3x+1+x=2x−33 x + 1 + x = 2 x - 3 Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0 , then replace 0 with y . The graph of the equation for y is shown. Use the graph to determine the solution of the equation. 3 x + 1 + x = 2 x - 3 A) y = 4 x + 2 ; - 2 B) y = 2 x + 4 ; - 2 C) y = 4 x + 2 ; 0 D) y = 2 x + 4 ; 0


A) y=4x+2;−2y = 4 x + 2 ; - 2
B) y=2x+4;−2y = 2 x + 4 ; - 2
C) y=4x+2;0y = 4 x + 2 ; 0
D) y=2x+4;0y = 2 x + 4 ; 0

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Find the slope of the line satisfying the given conditions. -through (4,−4) ( 4 , - 4 ) and (4,−9) ( 4 , - 9 )


A) undefined
B) 5
C) −5- 5
D) 0

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Solve the problem. Write all linear equations in slope-intercept form. -Suppose that a sales person observes that if an item is priced at $3\$ 3 per item then 7 items are sold. If 5 items are sold for $5\$ 5 per item then find a linear equation to model the number yy of items sold for xx dollars per item. Find the slope-intercept form of the equation of the line.


A) y=−x+4y = - x + 4
B) y=−x+10y = - x + 10
C) y=x+10y = x + 10
D) y=x+4y = x + 4

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Decide whether the relation defines a function. -Decide whether the relation defines a function. - A) Function B) Not a function


A) Function
B) Not a function

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Write an equation for the line described. Write the equation in the form specified. -parallel to y+6x=4y + 6 x = 4 , through (4,5) ( 4,5 ) ; slope-intercept form


A) y=−6x−29y = - 6 x - 29
B) y=−16x−296y = - \frac { 1 } { 6 } x - \frac { 29 } { 6 }
C) y=6x−29y = 6 x - 29
D) y=−6x+29y = - 6 x + 29

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Graph the function. -Graph the function. - A) B) C) D)


A)
Graph the function. - A) B) C) D)
B)
Graph the function. - A) B) C) D)
C)
Graph the function. - A) B) C) D)
D)
Graph the function. - A) B) C) D)

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Match the equation with the correct graph. - 2x−3y=−62 x - 3 y = - 6


A)
Match the equation with the correct graph. - 2 x - 3 y = - 6 A) B) C) D)
B)
Match the equation with the correct graph. - 2 x - 3 y = - 6 A) B) C) D)
C)
Match the equation with the correct graph. - 2 x - 3 y = - 6 A) B) C) D)
D)
Match the equation with the correct graph. - 2 x - 3 y = - 6 A) B) C) D)

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Graph the function. - y=−2∣x∣y = - 2 | x | Graph the function. - y = - 2 | x | A) B) C) D)


A)
Graph the function. - y = - 2 | x | A) B) C) D)
B)
Graph the function. - y = - 2 | x | A) B) C) D)
C)
Graph the function. - y = - 2 | x | A) B) C) D)
D)
Graph the function. - y = - 2 | x | A) B) C) D)

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Determine whether the three points are the vertices of a right triangle. -(9, 1) , (15, 3) , (14, -2)


A) Yes
B) No

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B

Give a rule for the piecewise-defined function. Then give the domain and range. - Give a rule for the piecewise-defined function. Then give the domain and range. - A) f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x < 0 \\ - 4 x & \text { if } x \geq 0 \end{array} ; \right. Domain: ( - \infty , 0 ) \cup \{ 4 \} , Range: ( - \infty , \infty ) B) f ( x ) = \left\{ \begin{array} { l } 4 \text { if } x < 0 \\ x \text { if } x \geq 0 \end{array} ; \right. Domain: ( - \infty , 0 ] \cup ( 4 ) , Range: ( - \infty , \infty ) C) f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x \leq 0 \\ - x & \text { if } x > 0 \end{array} ; \right. Domain: ( - \infty , \infty ) , Range: ( - \infty , 0 ) \cup \{ 4 \} D) f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x < 0 \\ - x & \text { if } x \geq 0 \end{array} ; \right. Domain: ( - \infty , \infty ) , Range: ( - \infty , 0 ] \cup \{ 4 \}


A) f(x) ={4 if x<0−4x if x≥0;f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x < 0 \\ - 4 x & \text { if } x \geq 0 \end{array} ; \right. Domain: (−∞,0) ∪{4}( - \infty , 0 ) \cup \{ 4 \} , Range: (−∞,∞) ( - \infty , \infty )
B) f(x) ={4 if x<0x if x≥0;f ( x ) = \left\{ \begin{array} { l } 4 \text { if } x < 0 \\ x \text { if } x \geq 0 \end{array} ; \right. Domain: (−∞,0]∪(4) ( - \infty , 0 ] \cup ( 4 ) , Range: (−∞,∞) ( - \infty , \infty )
C) f(x) ={4 if x≤0−x if x>0;f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x \leq 0 \\ - x & \text { if } x > 0 \end{array} ; \right. Domain: (−∞,∞) ( - \infty , \infty ) , Range: (−∞,0) ∪{4}( - \infty , 0 ) \cup \{ 4 \}
D) f(x) ={4 if x<0−x if x≥0;f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x < 0 \\ - x & \text { if } x \geq 0 \end{array} ; \right. Domain: (−∞,∞) ( - \infty , \infty ) , Range: (−∞,0]∪{4}( - \infty , 0 ] \cup \{ 4 \}

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Evaluate the function. -Find f(−x) f ( - x ) when f(x) =−3x2+2x+5f ( x ) = - 3 x ^ { 2 } + 2 x + 5


A) −3x2−2x+5- 3 x ^ { 2 } - 2 x + 5
B) 3x2−2x−53 x ^ { 2 } - 2 x - 5
C) 3x2−2x+53 x ^ { 2 } - 2 x + 5
D) −3x2−2x−5- 3 x ^ { 2 } - 2 x - 5

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Determine if the function is even, odd, or neither. - f(x) =2x2+1f ( x ) = 2 x ^ { 2 } + 1


A) Neither
B) Even
C) Odd

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Graph the line and give the domain and the range. - −3x+15=0- 3 x + 15 = 0


A) D=(−∞,∞) ,R={−5}D = ( - \infty , \infty ) , R = \{ - 5 \}
Graph the line and give the domain and the range. - - 3 x + 15 = 0 A) D = ( - \infty , \infty ) , R = \{ - 5 \} B) \mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty ) C) \mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty ) D) \mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}
B) D={−5},R=(−∞,∞) \mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty )
Graph the line and give the domain and the range. - - 3 x + 15 = 0 A) D = ( - \infty , \infty ) , R = \{ - 5 \} B) \mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty ) C) \mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty ) D) \mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}
C) D={5},R=(−∞,∞) \mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty )
Graph the line and give the domain and the range. - - 3 x + 15 = 0 A) D = ( - \infty , \infty ) , R = \{ - 5 \} B) \mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty ) C) \mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty ) D) \mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}
D) D=(−∞,∞) ,R={5}\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}
Graph the line and give the domain and the range. - - 3 x + 15 = 0 A) D = ( - \infty , \infty ) , R = \{ - 5 \} B) \mathrm { D } = \{ - 5 \} , \mathrm { R } = ( - \infty , \infty ) C) \mathrm { D } = \{ 5 \} , \mathrm { R } = ( - \infty , \infty ) D) \mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = \{ 5 \}

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Determine whether the three points are the vertices of a right triangle. -(-5, 11) , (-3, 15) , (-1, 14)


A) Yes
B) No

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Find the average rate of change illustrated in the graph. - Find the average rate of change illustrated in the graph. - A) 1.3 \mathrm {~mm} per second B) 1 \mathrm {~mm} per second C) 0.75 \mathrm {~mm} per second D) 0.85 \mathrm {~mm} per second


A) 1.3 mm1.3 \mathrm {~mm} per second
B) 1 mm1 \mathrm {~mm} per second
C) 0.75 mm0.75 \mathrm {~mm} per second
D) 0.85 mm0.85 \mathrm {~mm} per second

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Give the domain and range of the relation. - {(2,2) ,(−3,−3) ,(−6,−6) ,(6,6) }\{ ( 2,2 ) , ( - 3 , - 3 ) , ( - 6 , - 6 ) , ( 6,6 ) \}


A) None of these
B) domain: {2,6}\{ 2,6 \} ; range: {−6,−3}\{ - 6 , - 3 \}
C) domain: {−6,−3,2,6}\{ - 6 , - 3,2,6 \} ; range: {−6,−3,2,6}\{ - 6 , - 3,2,6 \}
D) domain: {−6,−3}\{ - 6 , - 3 \} ; range: {2,6}\{ 2,6 \}

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Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2x−4y=02 x-4 y=0 Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2 x-4 y=0 A) \mathrm { D } = ( - \infty , \infty ) , \quad R = ( - \infty , \infty ) B) \mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty ) C) D = ( - \infty , \infty ) , R = ( - \infty , \infty ) \) D) D=(-\infty, \infty) , \quad R=(-\infty, \infty)


A) D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty ) , \quad R = ( - \infty , \infty )
Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2 x-4 y=0 A) \mathrm { D } = ( - \infty , \infty ) , \quad R = ( - \infty , \infty ) B) \mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty ) C) D = ( - \infty , \infty ) , R = ( - \infty , \infty ) \) D) D=(-\infty, \infty) , \quad R=(-\infty, \infty)
B) D=(−∞,∞) ,R=(−∞,∞) \mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty )
Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2 x-4 y=0 A) \mathrm { D } = ( - \infty , \infty ) , \quad R = ( - \infty , \infty ) B) \mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty ) C) D = ( - \infty , \infty ) , R = ( - \infty , \infty ) \) D) D=(-\infty, \infty) , \quad R=(-\infty, \infty)
C) D = ( - \infty , \infty ) , R = ( - \infty , \infty ) \)
Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2 x-4 y=0 A) \mathrm { D } = ( - \infty , \infty ) , \quad R = ( - \infty , \infty ) B) \mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty ) C) D = ( - \infty , \infty ) , R = ( - \infty , \infty ) \) D) D=(-\infty, \infty) , \quad R=(-\infty, \infty)

D) D=(−∞,∞) ,R=(−∞,∞) D=(-\infty, \infty) , \quad R=(-\infty, \infty)
Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - 2 x-4 y=0 A) \mathrm { D } = ( - \infty , \infty ) , \quad R = ( - \infty , \infty ) B) \mathrm { D } = ( - \infty , \infty ) , \quad \mathrm { R } = ( - \infty , \infty ) C) D = ( - \infty , \infty ) , R = ( - \infty , \infty ) \) D) D=(-\infty, \infty) , \quad R=(-\infty, \infty)

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