Exam 2: Functions

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Find the distance between (4, 7) and (8, 11).

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Write an equation for the line passing through the point (-1, 2) and the point (3, -4).

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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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Find the center and radius of the circle. x2x+12+y2y=14x ^ { 2 } - x + \frac { 1 } { 2 } + y ^ { 2 } - y = \frac { 1 } { 4 }

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

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

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Find the x- and y-intercepts of the graph of the equation. y=2x+7y = \sqrt { 2 x + 7 }

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Find the distance between (4,7) and (8,11).

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Fill in the table of values for the function y=x5y = \frac { \sqrt { x } } { 5 } . x y 0 25 225 625 900

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A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight \text {W } Of the car and the square of its speed s, and is inversely proportional to the radius r of the curve. A car weighing 2,500 lbs travels around a curve at 70 mi/h. The next car to round this curve weighs 4,900 lbs and requires the same force as the first car to keep from skidding. How fast is the second car traveling?  A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight  \text {W }  Of the car and the square of its speed s, and is inversely proportional to the radius r of the curve. A car weighing 2,500 lbs travels around a curve at 70 mi/h. The next car to round this curve weighs 4,900 lbs and requires the same force as the first car to keep from skidding. How fast is the second car traveling?

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

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Determine the equation that expresses the statement. FF is directly proportional to xx Symbols a,b,c,da , b , c , d are constants.

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Find the x and y-intercepts of the graph of the equation. y=2x+7y = \sqrt { 2 x + 7 }

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Solve the equation xx+7=0x - \sqrt { x } + 7 = 0 graphically in the interval [7,6][ - 7,6 ]

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

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Write an equation for the line with a slope of 2 and y-intercept of -1.

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Test the equation y=9x3+5xy = 9 x ^ { 3 } + 5 x for symmetry.

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\ Find the approximate solution(s) of the equation 2x2+3x8=02 x ^ { 2 } + 3 x - 8 = 0 in the interval [3,3][ - 3,3 ] by drawing a graph in an appropriate viewing rectangle. State each answer correct to two decimals.

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Determine which point A(2, 3) or B(1, 4) is closer to the origin?

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Write the equation for the line passing through the point (15, 17) which is perpendicular to the line y = 7.

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