Exam 1: Functions and Models

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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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Select the correct Answer for each question. -Find the inverse function of Select the correct Answer for each question. -Find the inverse function of

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E

Find the domain.Select the correct Answer Find the domain.Select the correct Answer

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Use the Law of Exponents to rewrite and simplify the expression. Use the Law of Exponents to rewrite and simplify the expression.

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

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after   hours is   When will the population reach 55,000? Round theAnswer to the nearest tenth.Select the correct Answer hours is If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after   hours is   When will the population reach 55,000? Round theAnswer to the nearest tenth.Select the correct Answer When will the population reach 55,000? Round theAnswer to the nearest tenth.Select the correct Answer

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Select the correct Answer for each question. -Which of the following graphs is neither even nor odd?

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

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Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations. Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.

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The graphs of The graphs of   are given.a) For what values of   is   b) Find the values of    are given.a) For what values of The graphs of   are given.a) For what values of   is   b) Find the values of    is The graphs of   are given.a) For what values of   is   b) Find the values of    b) Find the values of The graphs of   are given.a) For what values of   is   b) Find the values of    The graphs of   are given.a) For what values of   is   b) Find the values of

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Determine whether Determine whether   is even, odd, or neither.  is even, odd, or neither. Determine whether   is even, odd, or neither.

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Evaluate the limit, if it exists. Evaluate the limit, if it exists.

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Determine whether the function is one-to-one. Determine whether the function is one-to-one.

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Simplify the expression.Select the correct Answer Simplify the expression.Select the correct Answer

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Select the correct Answer for each question. -Find all solutions of the equation correct to two decimal places. Select the correct Answer for each question. -Find all solutions of the equation correct to two decimal places.

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Simplify the expression.Select the correct Answer Simplify the expression.Select the correct Answer

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A box with an open top is to be constructed from a rectangular piece of card board with dimensions A box with an open top is to be constructed from a rectangular piece of card board with dimensions   in.by   in.by cutting out equal squares of side   at each corner and then folding up the sides as in the figure.Express the volume   of the box as a function of    in.by A box with an open top is to be constructed from a rectangular piece of card board with dimensions   in.by   in.by cutting out equal squares of side   at each corner and then folding up the sides as in the figure.Express the volume   of the box as a function of    in.by cutting out equal squares of side A box with an open top is to be constructed from a rectangular piece of card board with dimensions   in.by   in.by cutting out equal squares of side   at each corner and then folding up the sides as in the figure.Express the volume   of the box as a function of    at each corner and then folding up the sides as in the figure.Express the volume A box with an open top is to be constructed from a rectangular piece of card board with dimensions   in.by   in.by cutting out equal squares of side   at each corner and then folding up the sides as in the figure.Express the volume   of the box as a function of    of the box as a function of A box with an open top is to be constructed from a rectangular piece of card board with dimensions   in.by   in.by cutting out equal squares of side   at each corner and then folding up the sides as in the figure.Express the volume   of the box as a function of    A box with an open top is to be constructed from a rectangular piece of card board with dimensions   in.by   in.by cutting out equal squares of side   at each corner and then folding up the sides as in the figure.Express the volume   of the box as a function of

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Find the points of intersection of the graphs of the functions.Express yourAnswers accurate to five decimal places. Find the points of intersection of the graphs of the functions.Express yourAnswers accurate to five decimal places.

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Solve the equation. Solve the equation.

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Select the correct Answer for each question. -Find the points of intersection of the graphs of the functions.Express yourAnswers accurate to five decimal places. Select the correct Answer for each question. -Find the points of intersection of the graphs of the functions.Express yourAnswers accurate to five decimal places.

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