First, we will graph the function f(x)=2x by calculating the function values in a table and then plotting the points in the x-y-plane. Finally, y=14ex−3+2 is the graph of...First, we will graph the function f(x)=2x by calculating the function values in a table and then plotting the points in the x-y-plane. Finally, y=14ex−3+2 is the graph of y=ex shifted to the right by 3 (see the graph of y=ex−3), then compressed by a factor 4 towards the x-axis (see the graph of y=14ex−3), and then shifted up by 2.