Chapter 4.4, Problem 70E

Combining technology with analytical methods Use a graphing utility together with analytical methods to create a complete graph of the following functions. Be sure to find and label the intercepts, local extrema, inflection points, and asymptotes, and find the intervals on which the function is increasing or decreasing, and the intervals on which the function is concave up or concave down.

70.     $f\left(x\right)=\frac{\sin \pi x}{1+\sin \pi x}\text{on}\left[0,2\right]$