Exam 11: Functions and Relations

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Use the Composition of Inverse Function Property to determine whether the functions given below are inverses. Use the Composition of Inverse Function Property to determine whether the functions given below are inverses.

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A

Let Let   Find  Find Let   Find

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D

Find the x-intercepts of the parabola: Find the x-intercepts of the parabola:

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E

Let Let   Find:  Find: Let   Find:

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Find Find   .  . Find   .

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Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by   Find the area of the spill after 3 h. Round to the nearest whole number. Find the area of the spill after 3 h. Round to the nearest whole number.

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Determine whether the graph shown below is the graph of a 1-1 function. Determine whether the graph shown below is the graph of a 1-1 function.

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Let Let   Find:  Find: Let   Find:

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Let Let   Find:  Find: Let   Find:

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A tour operator believes the profit P, in dollars, from selling x tickets is given by A tour operator believes the profit P, in dollars, from selling x tickets is given by   Using this model, what is the maximum profit the tour operator can expect? Using this model, what is the maximum profit the tour operator can expect?

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Let Let   Find:  Find: Let   Find:

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Given the graph of Given the graph of   . Use translations to draw the graphs   .  . Use translations to draw the graphs Given the graph of   . Use translations to draw the graphs   .  . Given the graph of   . Use translations to draw the graphs   .

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Find the x-intercepts of the parabola: Find the x-intercepts of the parabola:

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Find the zeros of the function: Find the zeros of the function:

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Find the x-intercepts of the parabola: Find the x-intercepts of the parabola:

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Find the minimum or maximum of the quadratic function: Find the minimum or maximum of the quadratic function:

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Find the zeros of the function: Find the zeros of the function:

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Given the graph of Given the graph of   . Use translations to draw the graphs   .  . Use translations to draw the graphs Given the graph of   . Use translations to draw the graphs   .  . Given the graph of   . Use translations to draw the graphs   .

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Find Find   .  . Find   .

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Find Find   .  . Find   .

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