Exam 2: Functions

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Draw the graph. y=x(x+9)(x4)y = x ( x + 9 ) ( x - 4 )

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Calculate the y-coordinates in the table below for the function y=3x2+7y = 3 x ^ { 2 } + 7 x y -4 -2 2 3 5

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Determine the correct equation for the line passing through the point (5,16) and the point (17,3).

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Test the equation y=9x3+7xy = 9 x ^ { 3 } + 7 x for symmetry

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If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c=0.0417D(a+1)c = 0.0417 D ( a + 1 ) Suppose the dosage for an adult is 300 mg. Find the dosage for a newborn.

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Express the statement as a formula. MM varies directly as xx and inversely as yy Use the information thet if x=24x = 24 and y=4y = - 4 then M=36M = 36 to find the constant of proportionality.

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Find the center and radius of the circle. x2+y24x8y=19x ^ { 2 } + y ^ { 2 } - 4 x - 8 y = - 19

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Determine which point is on the graph of the equation y = 5x + 6.

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Find the slope and y-intercept for the line x + y = 7 and draw its graph.

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Find the equation of a vertical line passing through the point (1,2)( - 1 , - 2 ) .

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If M(3, 4) is the midpoint of the line segment AB, and if A has coordinates (1, 2), find the coordinates of B

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Express the statement as a formula. ss is inversely proportional to the square root of tt Use the information that if s=7s = 7 then t=25t = 25 to find the constant of proportionality.

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Write an equation for the line through the point (2,18) which has a slope of 5.

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