Exam 2: Limits and the Derivative

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Write in terms of simpler forms. -Write in terms of simpler forms. -

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For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

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Provide an appropriate response. -For f(t) = 3t + 2 and g(t) = 2 Provide an appropriate response. -For f(t) = 3t + 2 and g(t) = 2   , fi fnd 4f(3) - g(-3) + g(0). , fi fnd 4f(3) - g(-3) + g(0).

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Convert to an exponential equation. -Convert to an exponential equation. -

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Give the domain and range of the function. -s(x) = Give the domain and range of the function. -s(x) =

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Solve graphically to two decimal places using a graphing calculator. -Solve graphically to two decimal places using a graphing calculator. -

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Find the function value. -Find the function value. -

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

(Multiple Choice)
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Graph the function. -Graph the function. -

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Provide an appropriate response. -The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph. Provide an appropriate response. -The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

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Determine whether there is a maximum or minimum value for the given function, and find that value. -Determine whether there is a maximum or minimum value for the given function, and find that value. -

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Write an equation for the graph in the form Write an equation for the graph in the form   k, where a is either 1 or -1 and h and k are integers. - k, where a is either 1 or -1 and h and k are integers. -Write an equation for the graph in the form   k, where a is either 1 or -1 and h and k are integers. -

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Solve the equation. -Solve for x: or x: Solve the equation. -Solve for x: or x:

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Solve the problem. -The number of books in a community college library increases according to the functionnity college library increases according to the function Solve the problem. -The number of books in a community college library increases according to the functionnity college library increases according to the function   wh were t is measured in years. How many books will the library have after 8 year(s)? wh were t is measured in years. How many books will the library have after 8 year(s)?

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Use a calculator to evaluate the expression. Round the result to five decimal places. -Use a calculator to evaluate the expression. Round the result to five decimal places. -

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Determine whether there is a maximum or minimum value for the given function, and find that value. -Determine whether there is a maximum or minimum value for the given function, and find that value. -

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Find the range of the given function. Express your answer in interval notation. -Find the range of the given function. Express your answer in interval notation. -

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Solve the problem. -A professional basketball player has a vertical leap of 37 inches. A formula relating an athlete's vertical leap V, in inches, to hang time T, in seconds, is s V Solve the problem. -A professional basketball player has a vertical leap of 37 inches. A formula relating an athlete's vertical leap V, in inches, to hang time T, in seconds, is s V   . What is his hang time? Rou What is his hang time? Rond to the nearest tenth. . What is his hang time? Rou What is his hang time? Rond to the nearest tenth.

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

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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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