Exam 2: Functions

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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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Fill in the table of values for the function y=x/5y = \sqrt { x } / 5 . x y 0 25 225 625 900

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Find the x and y-intercepts of the graph of the equation y=3x+7y = 3 x + 7 .

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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 a) Find the slope. What does it represent? b) What is the dosage for a newborn?

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Draw the graph. y=13x17y = \sqrt { 13 x - 17 }

(Multiple Choice)
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Fill in the table of values for the function y=x6y = | x - 6 | x y 4 -1 2 3 5

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  Find the slope of the line through P(5,5)P ( 5 , - 5 ) and Q(8,34)Q ( - 8,34 ) .

(Multiple Choice)
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Write an equation that expresses y as it varies inversely as G.

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Write the equation for the line passing through the point (8, -11) and parallel to the line x + 2y = 8.

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Find the midpoint of the segment joining the points (7, -6) and (15, -2)

(Multiple Choice)
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Draw the graph. y=13x17y = \sqrt { 13 x - 17 }

(Multiple Choice)
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Write an equation that expresses the statement.D is proportional to the square root of x.

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Determine the correct equation for the line passing through the point (2, 22) with a slope of 7.

(Multiple Choice)
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Write an equation that expresses that R is proportional to the square root of y.

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The graph shows the pressure experienced by an ocean diver at two different depths. Find and interpret the midpoint of the line segment shown in the graph. The graph shows the pressure experienced by an ocean diver at two different depths. Find and interpret the midpoint of the line segment shown in the graph.

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Solve the equation x312x2+41x30=0x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0 graphically in the interval [1,7][ - 1,7 ]

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

(Multiple Choice)
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In how many distinct points does the graph of y=12x25x14y = \frac { 1 } { 2 } x ^ { 2 } - 5 x - \frac { 1 } { 4 } intersect the graph of y=12x2+2x7y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 7 in the viewing rectangle [10,10][ - 10,10 ] by [15,5][ - 15,5 ] ?

(Multiple Choice)
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Find an equation of the circle that has the points P(5, 8) and Q(9, -6) as the endpoints of a diameter.

(Short Answer)
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Find the center and radius of the circle. x2+y22x=1x ^ { 2 } + y ^ { 2 } - 2 x = - 1

(Short Answer)
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