Exam 1: Functions and Graphs

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Find the equations of any vertical asymptotes. -Find the equations of any vertical asymptotes. -

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Write an equation of the line with the indicated slope and y intercept. -Write an equation of the line with the indicated slope and y intercept. -

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

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Solve the problem. -If $4,000 is invested at 7% compounded annually, how long will it take for it to grow to $6,000, assuming no withdrawals are made? Compute answer to the next higher year if not exact. Solve the problem. -If $4,000 is invested at 7% compounded annually, how long will it take for it to grow to $6,000, assuming no withdrawals are made? Compute answer to the next higher year if not exact.

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

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

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Solve the problem. -The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function: Solve the problem. -The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function:   The function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain   They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit. The function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain Solve the problem. -The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function:   The function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain   They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit. They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit.

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The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

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Provide an appropriate response. -Provide an appropriate response. -

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

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Solve the problem. -Assume that a savings account earns interest at the rate of 2% compounded monthly. If this account contains $1000 now, how many months will it take for this amount to double if no withdrawals are made?

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

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Use point-by-point plotting to sketch the graph of the equation. -Use point-by-point plotting to sketch the graph of the equation. -

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Solve the equation. -Solve for Solve the equation. -Solve for

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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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Solve the problem. -In the table below, the amount of the U.S. minimum wage is listed for selected years. Solve the problem. -In the table below, the amount of the U.S. minimum wage is listed for selected years.   Find an exponential regression model of the form y = a ·bx, where y represents the U.S. minimum wage x years after 1960. Round a and b to four decimal places. According to this model, what will the minimum wage be in 2005? In 2010? Find an exponential regression model of the form y = a ·bx, where y represents the U.S. minimum wage x years after 1960. Round a and b to four decimal places. According to this model, what will the minimum wage be in 2005? In 2010?

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

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Write an equation for a function that has a graph with the given transformations. -The shape of Write an equation for a function that has a graph with the given transformations. -The shape of   is shifted 5 units to the left. Then the graph is shifted 7 units upward. is shifted 5 units to the left. Then the graph is shifted 7 units upward.

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Solve the problem. -A small company that makes hand-sewn leather shoes has fixed costs of $320 a day, and total costs of $1200 per day at an output of 20 pairs of shoes per day. Assume that total cost C is linearly related to output x. Find an Equation of the line relating output to cost. Write the final answer in the form C = mx + b.

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Graph the function. -Graph the function. -

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