Exam 1: Functions and Graphs

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Provide an appropriate response. -(2, -4); (-5, 8)

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Solve the problem. -y = 4x + 1

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Use the REGRESSION feature on a graphing calculator. -Use the REGRESSION feature on a graphing calculator. -

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Determine the domain of the function. -Determine the domain of the function. -

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Determine whether the function is linear, constant, or neither -Determine whether the function is linear, constant, or neither -

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Solve the problem. -The function F described by F(x) = 2.75x + 71.48 can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a woman whose Humerus is 30.93 cm long. Round your answer to the nearest four decimal places.

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Find the slope and y intercept of the graph of the equation. -y = 3x - 4

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Provide an appropriate response. -In a profit-loss analysis, point where revenue equals cost.

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Determine whether the function is linear, constant, or neither -Determine whether the function is linear, constant, or neither -

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Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

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

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Solve the problem. -The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $25 for the repairman to come to the house, to which a charge of $20 per hour is added. Find an equation that Can be used to determine the labor cost, C, of a repair that takes x hours. Write the final answer in the form C = Mx + b.

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

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For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

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Solve the problem. -A country has a population growth rate of 2.4% compounded continuously. At this rate, how long will it take for the population of the country to double? Round your answer to the nearest tenth.

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Determine the domain of the function. -f(x) = 8 x3

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Graph by converting to exponential form first. -Graph by converting to exponential form first. -

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Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. -Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. -

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Provide an appropriate response. -f(x) = Provide an appropriate response. -f(x) =   + 7x + 7x

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Use the properties of logarithms to solve. -Use the properties of logarithms to solve. -

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