We have learned how to use derivatives to analyze functions. We have discussed increasing and decreasing regions of functions as well as concavity. We have also discussed how to use this information to determine relative minima and maxima. Let's consider the following function:

fx = x³+3x²-x-3 / x²+4x-5

1. Where is the function increasing and decreasing?
2. What are the critical values of the function?
3. What are the coordinates of the relative minima and maxima of the function?