Exam 5: Rational Expressions, Equations and Functions

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Use interval notation to represent the number line graph. -Use interval notation to represent the number line graph. -

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The relationship of the input value, The relationship of the input value,   , and the output value,   , is an inverse variation. When   ,    . -Write a function that describes this inverse variation and graph the function. , and the output value, The relationship of the input value,   , and the output value,   , is an inverse variation. When   ,    . -Write a function that describes this inverse variation and graph the function. , is an inverse variation. When The relationship of the input value,   , and the output value,   , is an inverse variation. When   ,    . -Write a function that describes this inverse variation and graph the function. , The relationship of the input value,   , and the output value,   , is an inverse variation. When   ,    . -Write a function that describes this inverse variation and graph the function. . -Write a function that describes this inverse variation and graph the function.

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The relationship between the velocity of a falling object (ignoring air resistance) The relationship between the velocity of a falling object (ignoring air resistance)  , and the time of the fall  , is a direct variation. When the velocity of the object is 210 feet per second, it has been falling for 6 seconds. Find the constant of proportionality. Include units of measurement., and the time of the fall The relationship between the velocity of a falling object (ignoring air resistance)  , and the time of the fall  , is a direct variation. When the velocity of the object is 210 feet per second, it has been falling for 6 seconds. Find the constant of proportionality. Include units of measurement., is a direct variation. When the velocity of the object is 210 feet per second, it has been falling for 6 seconds. Find the constant of proportionality. Include units of measurement.

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Perform the indicated operations and simplify. -Perform the indicated operations and simplify. -

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Perform the indicated operations and simplify. -Perform the indicated operations and simplify. -

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Find any real boundary values for each rational inequality. -Find any real boundary values for each rational inequality. -

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Perform the indicated operations and simplify. -Perform the indicated operations and simplify. -

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Use interval notation to represent the number line graph. -Use interval notation to represent the number line graph. -

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Use synthetic division to find the quotient. -Use synthetic division to find the quotient. -

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Identify the location of any holes on the graph of the function. -Identify the location of any holes on the graph of the function. -

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Find Find    for the function     . for the function Find    for the function     . .

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Use synthetic division to find the quotient and the remainder theorem to evaluate the function Use synthetic division to find the quotient and the remainder theorem to evaluate the function  At  At Use synthetic division to find the quotient and the remainder theorem to evaluate the function  At

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Use synthetic division to find the quotient. -Use synthetic division to find the quotient. -

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Use long division to find the quotient. -Use long division to find the quotient. -

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The relationship between the time it takes you to drive to school, The relationship between the time it takes you to drive to school,   , and your average speed,   in miles per hour is an inverse variation. It takes 0.5 hours to get to school when your average speed is   . -At what speed do you need to be going to travel this distance in 0.75 hrs? , and your average speed, The relationship between the time it takes you to drive to school,   , and your average speed,   in miles per hour is an inverse variation. It takes 0.5 hours to get to school when your average speed is   . -At what speed do you need to be going to travel this distance in 0.75 hrs? in miles per hour is an inverse variation. It takes 0.5 hours to get to school when your average speed is The relationship between the time it takes you to drive to school,   , and your average speed,   in miles per hour is an inverse variation. It takes 0.5 hours to get to school when your average speed is   . -At what speed do you need to be going to travel this distance in 0.75 hrs? . -At what speed do you need to be going to travel this distance in 0.75 hrs?

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Perform the indicated operations and simplify. -Perform the indicated operations and simplify. -

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Simplify the expression. -Simplify the expression. -

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