Exam 1: Functions and Models

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Find an expression for the function Find an expression for the function   whose graph is the bottom half of the parabola   Select the correct Answer whose graph is the bottom half of the parabola Find an expression for the function   whose graph is the bottom half of the parabola   Select the correct Answer Select the correct Answer

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The graph of the function The graph of the function   follows.Choose the graph of    follows.Choose the graph of The graph of the function   follows.Choose the graph of    The graph of the function   follows.Choose the graph of

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Find the range of the function. Find the range of the function.

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It makes sense that the larger the area of a region, the larger the number of species that inhabit the region.Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in It makes sense that the larger the area of a region, the larger the number of species that inhabit the region.Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in   of the caves by the equation   (a) The cave called mission impossible near puebla, mexico, has suface area of   How many species of bats would expect to find in that cave? (b) If you discover that species of bats live in cave estimate the area of the cave.  of the caves by the equation It makes sense that the larger the area of a region, the larger the number of species that inhabit the region.Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in   of the caves by the equation   (a) The cave called mission impossible near puebla, mexico, has suface area of   How many species of bats would expect to find in that cave? (b) If you discover that species of bats live in cave estimate the area of the cave.  (a) The cave called mission impossible near puebla, mexico, has suface area of It makes sense that the larger the area of a region, the larger the number of species that inhabit the region.Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in   of the caves by the equation   (a) The cave called mission impossible near puebla, mexico, has suface area of   How many species of bats would expect to find in that cave? (b) If you discover that species of bats live in cave estimate the area of the cave.  How many species of bats would expect to find in that cave? (b) If you discover that species of bats live in cave estimate the area of the cave. It makes sense that the larger the area of a region, the larger the number of species that inhabit the region.Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in   of the caves by the equation   (a) The cave called mission impossible near puebla, mexico, has suface area of   How many species of bats would expect to find in that cave? (b) If you discover that species of bats live in cave estimate the area of the cave.

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Let Let   and   Find  and Let   and   Find  Find Let   and   Find

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Find the limit. Find the limit.

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Select the correct Answer for each question. -The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. Select the correct Answer for each question. -The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   What is the F-intercept and what does it represent? What is the F-intercept and what does it represent?

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Find the function Find the function   and its domain if   and   . and its domain if Find the function   and its domain if   and   . and Find the function   and its domain if   and   . .

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Find the exact value of the given expression. Find the exact value of the given expression.

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Plot the graph of the function Plot the graph of the function   in an appropriate viewing window.  in an appropriate viewing window. Plot the graph of the function   in an appropriate viewing window.

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The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   Complete the table and find the slope.  Complete the table and find the slope. The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   Complete the table and find the slope.

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Plot the graph of the function Plot the graph of the function   in an appropriate viewing window.  in an appropriate viewing window. Plot the graph of the function   in an appropriate viewing window.

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Find the limit Find the limit   , if it exists.Select the correct Answer , if it exists.Select the correct Answer

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An open rectangular box with volume An open rectangular box with volume   has a square base.Express the surface area of the box as a function   of the length   of a side of the base. has a square base.Express the surface area of the box as a function An open rectangular box with volume   has a square base.Express the surface area of the box as a function   of the length   of a side of the base. of the length An open rectangular box with volume   has a square base.Express the surface area of the box as a function   of the length   of a side of the base. of a side of the base.

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Determine Determine   is discontinuous.  is discontinuous. Determine   is discontinuous.

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Use the laws of logarithms to expand the expression. Use the laws of logarithms to expand the expression.

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Select the correct Answer for each question. -Find Select the correct Answer for each question. -Find   for the function   nd the real number    for the function Select the correct Answer for each question. -Find   for the function   nd the real number    nd the real number Select the correct Answer for each question. -Find   for the function   nd the real number    Select the correct Answer for each question. -Find   for the function   nd the real number

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Select the correct Answer for each question. -A rectangle has perimeter Select the correct Answer for each question. -A rectangle has perimeter   m.Express the area of the rectangle as a function   of the length   of one of its sides. m.Express the area of the rectangle as a function Select the correct Answer for each question. -A rectangle has perimeter   m.Express the area of the rectangle as a function   of the length   of one of its sides. of the length Select the correct Answer for each question. -A rectangle has perimeter   m.Express the area of the rectangle as a function   of the length   of one of its sides. of one of its sides.

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The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   What is the F-intercept and what does it represent? What is the F-intercept and what does it represent?

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A rectangle has perimeter A rectangle has perimeter   m.Express the area of the rectangle as a function   of the length   of one of its sides.Select the correct Answer m.Express the area of the rectangle as a function A rectangle has perimeter   m.Express the area of the rectangle as a function   of the length   of one of its sides.Select the correct Answer of the length A rectangle has perimeter   m.Express the area of the rectangle as a function   of the length   of one of its sides.Select the correct Answer of one of its sides.Select the correct Answer

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