Exam 3: Polynomial and Rational Functions

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Sketch the graph of the function. -Sketch the graph of the function. -

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Discuss the symmetry of the graph of the polynomial function. -f(x) = Discuss the symmetry of the graph of the polynomial function. -f(x) =

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Determine whether Determine whether   . -y =  . -y = Determine whether   . -y =

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Find the equation that the given graph represents. -Find the equation that the given graph represents. -

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Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by   , what is the unit cost for 50 units? Round to the nearest hundredth unless instructed otherwise. , what is the unit cost for 50 units? Round to the nearest hundredth unless instructed otherwise.

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Use the factor theorem to decide whether or not the second polynomial is a factor of the first. -Use the factor theorem to decide whether or not the second polynomial is a factor of the first. -  - 7x + 4; x + 4 - 7x + 4; x + 4

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Solve the problem. -The instantaneous growth rate of a population is the rate at which it is growing at every instant in time. The instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the Function Solve the problem. -The instantaneous growth rate of a population is the rate at which it is growing at every instant in time. The instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the Function   Find the times for which the instantaneous growth rate is Zero. Find the times for which the instantaneous growth rate is Zero.

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Discuss the symmetry of the graph of the polynomial function. -Discuss the symmetry of the graph of the polynomial function. -

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Find the range of the function. -f(x) = Find the range of the function. -f(x) =   - 90x + 235 - 90x + 235

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Solve the problem. -A manufacturer's cost is given by Solve the problem. -A manufacturer's cost is given by   where C is the cost and n is the number of parts produced. Find the cost when 729 parts are produced. where C is the cost and n is the number of parts produced. Find the cost when 729 parts are produced.

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Find the equation and sketch the graph of the function. -A quadratic function with x-intercept (4, 0) and y-intercept (0, 16). Find the equation and sketch the graph of the function. -A quadratic function with x-intercept (4, 0) and y-intercept (0, 16).

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Find all real and imaginary solutions. -Find all real and imaginary solutions. -

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Find all real solutions to the equation. -Find all real solutions to the equation. -

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Find all real and imaginary solutions to the equation. -Find all real and imaginary solutions to the equation. -

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Identify the vertex of the parabola. -y = Identify the vertex of the parabola. -y =   - 6x + 10 - 6x + 10

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Use division to write the rational expression in the form quotient + remainder/divisor. -Use division to write the rational expression in the form quotient + remainder/divisor. -

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Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. -Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth. -

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Find all real solutions to the equation. -Find all real solutions to the equation. -

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Solve the problem. -The length and width of a rectangle have a sum of 86. What dimensions give the maximum area?

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Use the factor theorem to decide whether or not the second polynomial is a factor of the first. -Use the factor theorem to decide whether or not the second polynomial is a factor of the first. -  + 4x + 55; x - 5 + 4x + 55; x - 5

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