Exam 2: Functions and Graphs

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Graph the function. -f(x) = Graph the function. -f(x) =    Graph the function. -f(x) =

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Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -f(x) = 3 ln x Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -f(x) = 3 ln x

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Graph the function: -Graph the function: -

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Use a calculator to evaluate the expression. Round the result to five decimal places: -log 51.237

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Convert to an exponential equation: -Convert to an exponential equation: -

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Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -f(x) = 4 - ln x Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -f(x) = 4 - ln x

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Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. Graph y = L(x). Use the interval (0, 4].

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

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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 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   long. Round your answer to the nearest four decimal places. long. Round your answer to the nearest four decimal places.

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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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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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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 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   t represents the number of days of the campaign. After how long will 90% of the target market have bought the water? 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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Write an equation for the graph in the form y = a + k, where a is either 1 or -1 and h and k are integers: -Write an equation for the graph in the form y = a + k, where a is either 1 or -1 and h and k are integers: -

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The U. S. Census Bureau compiles data on population. The population (in thousands) of a southern city can be approximated by The U. S. Census Bureau compiles data on population. The population (in thousands) of a southern city can be approximated by   where x corresponds to the years after 1950. In what calendar year was the population about 804,200? where x corresponds to the years after 1950. In what calendar year was the population about 804,200?

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In the table below, the amount of the U.S. minimum wage is listed for selected years. 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 ∙   , 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? 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 ∙   , 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 ∙ 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 ∙   , 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? , 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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Graph the function: -Graph the function: -

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

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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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