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Locate any relative extrema and inflection points of the function . Use a graphing utility to confirm your results. ​

A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points . ​ 0 5 10 15 20 ​ ​

Find the open interval(s) on which is increasing or decreasing. ​

A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model . Write the linear model in exponential form. ​

The graph of a function f is shown below. Sketch the graph of the derivative . ​ ​

Find all points of inflection, if any exist, of the graph of the function . Round your answers to two decimal places. ​

Determine the x-coordinate(s) of any relative extrema and inflection points of the function . ​

Find the value of the derivative (if it exists) of the function  at the extremum point  . ​

Determine the x-coordinate(s) of any relative extrema and inflection points of the function . ​

Find all points of inflection, if any exist, of the graph of the function . Round your answers to two decimal places. ​