Question

A jogger runs from her home to a point A, which is 6 km away. For there 6 km, shebegins by running at a constant speed till she reaches a hilly portion 2 km from herhome. Here her speed slows down while she runs up the hill, which is a 1-km run.Then she speeds up while running down the hill.The last 2 km of the run are again atconstant speed. Draw a graph to show the jogger’s speed as a function of the distancefrom her home. Also find the range of this function.