Exam 2: Functions and Graphs

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Sketch the graph of the function and determine whether the function is even, odd, or neither. Sketch the graph of the function and determine whether the function is even, odd, or neither.

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Find Find   f (x) = 5x - 4 g (x) = x - 9 f (x) = 5x - 4 g (x) = x - 9

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Write the standard form of the equation of the circle whose diameter has endpoints of Write the standard form of the equation of the circle whose diameter has endpoints of   and  and Write the standard form of the equation of the circle whose diameter has endpoints of   and

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Evaluate Evaluate   where   and  where Evaluate   where   and  and Evaluate   where   and

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A motorcycle was purchased for $39,000.Assuming the motorcycle depreciates at a rate of $4680 per year (straight-line depreciation) for the first 7 years, write the value v of the motorcycle as a function of the time t (measured in years) for A motorcycle was purchased for $39,000.Assuming the motorcycle depreciates at a rate of $4680 per year (straight-line depreciation) for the first 7 years, write the value v of the motorcycle as a function of the time t (measured in years) for

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Find the domain of the function. Find the domain of the function.

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Sketch the graph of the equation below. Sketch the graph of the equation below.

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Find the midpoint of the line segment joining the points. (7, -7), (-7, -5)

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Sketch the graph of the function below. Sketch the graph of the function below.

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An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area   from each corner as shown in the figure below.If the volume of the box is given by   state the domain of V .      from each corner as shown in the figure below.If the volume of the box is given by An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area   from each corner as shown in the figure below.If the volume of the box is given by   state the domain of V .      state the domain of V . An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area   from each corner as shown in the figure below.If the volume of the box is given by   state the domain of V .      An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area   from each corner as shown in the figure below.If the volume of the box is given by   state the domain of V .      An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area   from each corner as shown in the figure below.If the volume of the box is given by   state the domain of V .

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Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point Slope Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point Slope     I:   II:   III:  Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point Slope     I:   II:   III:  I: Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point Slope     I:   II:   III:  II: Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point Slope     I:   II:   III:  III: Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point Slope     I:   II:   III:

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Find all real values of x such that f (x) = 0. Find all real values of x such that f (x) = 0.

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An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area   from each corner as shown in the figure below.Express the volume V of the box as a function of x.      from each corner as shown in the figure below.Express the volume V of the box as a function of x. An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area   from each corner as shown in the figure below.Express the volume V of the box as a function of x.      An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area   from each corner as shown in the figure below.Express the volume V of the box as a function of x.      An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area   from each corner as shown in the figure below.Express the volume V of the box as a function of x.

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The sales tax on an item with a retail price of $908 is $99.88.Create a mathematical model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $113.50.

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Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. f (x) = x3 + 2x2 + x - 5

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Find Find   f (x) = x - 7 g (x) = x<sup>2</sup> f (x) = x - 7 g (x) = x2

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Find all real values of x such that f (x) = 0. Find all real values of x such that f (x) = 0.

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