Find the open interval(s) on which the function is increasing in the interval . Round numerical values in your answer to three decimal places. ​

Analyze and sketch a graph of the function . ​

Sketch a graph of the function over the interval . ​

Find the point on the graph of the function that is closest to the point  . Round all numerical values in your answer to four decimal places. ​

The graph of f is shown. Graph f, f’ and f” on the same set of coordinate axes. ​ ​

Sketch the graph of the relation using any extrema, intercepts, symmetry, and asymptotes. ​

The resistance R of a certain type of resistor is where R is measured in ohms and the temperature T is measured in degrees Celsius. Use a computer algebra system to find the critical number of the function. Round numerical values in your answer to the nearest whole number. ​

Locate the absolute extrema of the function on the closed interval . Round your answers to four decimal places. ​

Find the relative minima of on the interval by applying the First Derivative Test. Round numerical values in your answer to three decimal places. ​

Find the point on the graph of the function that is closest to the point  . Round all numerical values in your answer to four decimal places. ​