Exam 2: Limits and the Derivative

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Solve the equation graphically to four decimal places. -Let Solve the equation graphically to four decimal places. -Let   , find f(x) = 11. , find f(x) = 11.

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D

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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Give the domain and range of the function. -Give the domain and range of the function. -

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Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure. -Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure. -

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Write an equation for a function that has a graph with the given transformations. -The shape of pe of y Write an equation for a function that has a graph with the given transformations. -The shape of pe of y   is vertically stretched by a factor of 10, and the resulting graph is reflected across the x-axis. is vertically stretched by a factor of 10, and the resulting graph is reflected across the x-axis.

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Solve the equation graphically to four decimal places. -Let Solve the equation graphically to four decimal places. -Let   , find f(x) = 3. , find f(x) = 3.

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

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Use the REGRESSION feature on a graphing calculator. -As the number of farms has decreased in South Carolina, the average size of the remaining farms has grown larger, as shown below. Use the REGRESSION feature on a graphing calculator. -As the number of farms has decreased in South Carolina, the average size of the remaining farms has grown larger, as shown below.   Let x represent the number of years since 1900. Use a graphing calculator to fit a quadratic function to the data. Round Your answer to five decimal places. Let x represent the number of years since 1900. Use a graphing calculator to fit a quadratic function to the data. Round Your answer to five decimal places.

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Provide an appropriate response. -How can the graph of ow can the graph of f(x) Provide an appropriate response. -How can the graph of ow can the graph of f(x)   6 be obtained from the graph of 6 be obtained from the graph of y  6 be obtained from the graph of 6 be obtained from the graph of y Provide an appropriate response. -How can the graph of ow can the graph of f(x)   6 be obtained from the graph of 6 be obtained from the graph of y

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Provide an appropriate response. -Provide an appropriate response. -  , what is the defnition of g(x), the function whose graph is obtained by shifting f(x)'s graph right 5 units and down 1 unit? , what is the defnition of g(x), the function whose graph is obtained by shifting f(x)'s graph right 5 units and down 1 unit?

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Sketch the graph of the function. -9) Sketch the graph of the function. -9)

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Convert to a logarithmic equation. -Convert to a logarithmic equation. -

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For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -

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Convert to a logarithmic equation. -Convert to a logarithmic equation. -

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Provide an appropriate response. -What is the minimum number of x intercepts that a polynomial of degree 8 can have? Explain.

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

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Solve the problem. -The function P, given by ion P, given by Solve the problem. -The function P, given by ion P, given by   gives the pressure, in atmospheres (atm), at a depth d, in feet, under the sea. Find the pressure at 200 feet. Round your answer to the nearest whole number. gives the pressure, in atmospheres (atm), at a depth d, in feet, under the sea. Find the pressure at 200 feet. Round your answer to the nearest whole number.

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Solve the problem. -Hi-Tech UnWater begins a cable TV advertising campaign in Miami to market a new water. The percentage of the target market that buys water is estimated by the function ion Solve the problem. -Hi-Tech UnWater begins a cable TV advertising campaign in Miami to market a new water. The percentage of the target market that buys water is estimated by the function ion   t represents t represents the number Of days of the campaign. After how long will 90% of the target market have bought the water? t represents t represents the number Of days of the campaign. After how long will 90% of the target market have bought the water?

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Graph the function. -Graph the function. -

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Solve the equation graphically to four decimal places. -Let et f( Solve the equation graphically to four decimal places. -Let et f(   , find f(x) = -5. , find f(x) = -5.

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