Exam 1: Functions and Models

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Refer to the graph of the function Refer to the graph of the function   in the following figure.   -a.Find   b.Find the value of   for which (i)   c.Find the domain and range of  in the following figure. Refer to the graph of the function   in the following figure.   -a.Find   b.Find the value of   for which (i)   c.Find the domain and range of  -a.Find Refer to the graph of the function   in the following figure.   -a.Find   b.Find the value of   for which (i)   c.Find the domain and range of  b.Find the value of Refer to the graph of the function   in the following figure.   -a.Find   b.Find the value of   for which (i)   c.Find the domain and range of  for which (i) Refer to the graph of the function   in the following figure.   -a.Find   b.Find the value of   for which (i)   c.Find the domain and range of  c.Find the domain and range of Refer to the graph of the function   in the following figure.   -a.Find   b.Find the value of   for which (i)   c.Find the domain and range of

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If f and g are continuous functions with If f and g are continuous functions with   Select the correct Answer Select the correct Answer

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Determine whether Determine whether   is even, odd, or neither.Select the correct Answer  is even, odd, or neither.Select the correct Answer Determine whether   is even, odd, or neither.Select the correct Answer

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Find the domain and sketch the graph of the function.What is its range? Find the domain and sketch the graph of the function.What is its range?

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Select the correct Answer for each question. -If Select the correct Answer for each question. -If   and   find a function g such that  and Select the correct Answer for each question. -If   and   find a function g such that  find a function g such that Select the correct Answer for each question. -If   and   find a function g such that

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Classify the function as a Polynomial function, a Rational function, an algebraic function, or other. Classify the function as a Polynomial function, a Rational function, an algebraic function, or other.   Select the correct Answer Select the correct Answer

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Select the correct Answer for each question. -Use the Law of Exponents to rewrite and simplify the expression. Select the correct Answer for each question. -Use the Law of Exponents to rewrite and simplify the expression.

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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 Find   if  if Find   if

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The position of a car is given by the values in the following table. The position of a car is given by the values in the following table.   Find the average velocity for the time period beginning when   and lasting 2 seconds. Find the average velocity for the time period beginning when The position of a car is given by the values in the following table.   Find the average velocity for the time period beginning when   and lasting 2 seconds. and lasting 2 seconds.

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Select the correct Answer for each question. -A rectangle has perimeter 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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Which of the following is the equation for the function Which of the following is the equation for the function   ? Select the correct Answer  ? Select the correct Answer Which of the following is the equation for the function   ? Select the correct Answer

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The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.Select the correct Answer The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.Select the correct Answer

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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 the inverse of Select the correct Answer for each question. -Find the inverse of   Then sketch the graphs of   and   on the same set of axes.  Then sketch the graphs of Select the correct Answer for each question. -Find the inverse of   Then sketch the graphs of   and   on the same set of axes.  and Select the correct Answer for each question. -Find the inverse of   Then sketch the graphs of   and   on the same set of axes.  on the same set of axes. Select the correct Answer for each question. -Find the inverse of   Then sketch the graphs of   and   on the same set of axes.

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Select the correct Answer for each question. -Find the exact value of the given expression. Select the correct Answer for each question. -Find the exact value of the given expression.

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Select the correct Answer for each question. -Use the laws of logarithms to expand the expression. Select the correct Answer for each question. -Use the laws of logarithms to expand the expression.

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What is the equation of this graph? What is the equation of this graph?

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Find the inverse function of Find the inverse function of

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The graph of The graph of   is given.Sketch the graph of   on the same set of axes.  is given.Sketch the graph of The graph of   is given.Sketch the graph of   on the same set of axes.  on the same set of axes. The graph of   is given.Sketch the graph of   on the same set of axes.

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