Exam 2: Graphs and Functions

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Graph the equation by determining the missing values needed to plot the ordered pairs. - y−x=1;(3,),(,8),(4,)y-x=1 ;(3, \quad),(, 8),(4, \quad)  Graph the equation by determining the missing values needed to plot the ordered pairs. - y-x=1 ;(3, \quad),(, 8),(4, \quad)

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Write an equation for the line described. Give your answer in slope-intercept form. - m=2\mathrm { m } = 2 , through (1,−7)( 1 , - 7 )

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Write an equation for the line described. Write the equation in the form specified. -perpendicular to 4x−5y=244 x - 5 y = 24 , through (1,4)( 1,4 ) ; slope-intercept form

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Determine whether the three points are collinear. -(-4, -9), (0, -1), (6, 11)

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The graph of y = f(x) is given. Use the graph to find the function value. -Find f(10)f ( 10 ) .  The graph of y = f(x) is given. Use the graph to find the function value. -Find  f ( 10 ) .

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For the points P and Q, find the distance d(P, Q). - P(3,2),Q(−6,−5)\mathrm { P } ( 3,2 ) , \mathrm { Q } ( - 6 , - 5 )

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The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope -intercept form. -The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope -intercept form. -

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For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x)=3x−9,g(x)=5x−2f ( x ) = 3 x - 9 , g ( x ) = 5 x - 2 Find (f−g)(x)( f - g ) ( x ) .

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Find the slope of the line and sketch the graph. - y=−6xy=-6 x  Find the slope of the line and sketch the graph. - y=-6 x

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Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

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Find the slope and the y-intercept of the line. - 2x−y=−42 x - y = - 4

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Solve the problem. -Use the tables to find (f+g)(−8)( f + g ) ( - 8 ) .  Solve the problem. -Use the tables to find  ( f + g ) ( - 8 ) .

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Write an equation for the line described. Give your answer in slope-intercept form. - m=310m = \frac { 3 } { 10 } , through (1,7)( 1,7 )

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For the points P and Q, find the coordinates of the midpoint of the segment PQ. - P(2,−6),Q(0,2)\mathrm { P } ( 2 , - 6 ) , \mathrm { Q } ( 0,2 )

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Solve the problem. -Use the graphs to find the value of (f−g)(−1)( f - g ) ( - 1 ) .  Solve the problem. -Use the graphs to find the value of  ( f - g ) ( - 1 ) .

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For the points P and Q, find the coordinates of the midpoint of the segment PQ. - P(5,1),Q(4,8)\mathrm { P } ( 5,1 ) , \mathrm { Q } ( 4,8 )

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Solve the problem. -The table shows enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear relationship, estimate the enrollment for 1995. Solve the problem. -The table shows enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear relationship, estimate the enrollment for 1995.

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Determine whether the three points are collinear. -(12, 0), (3, -4), (21, 4)

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Graph the function. - f(x)=4xf(x)=4 \sqrt{x}  Graph the function. - f(x)=4 \sqrt{x}

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For the points P and Q, find the coordinates of the midpoint of the segment PQ. - P(−6,1),Q(0,10)\mathrm { P } ( - \sqrt { 6 } , 1 ) , \mathrm { Q } ( 0 , \sqrt { 10 } )

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