Sketch graphs for the relationships described in each of the following problems and select one or more of the families of functions discussed in Section 2.4.4 to represent it.

1. The relationship between the effectiveness of a new drug and the amount spent on R&D.

2. The relationship between the cost of manufacturing a product and the cumulative quantity produced.

3. The relationship between the time it takes to complete a project and the number of people assigned to work on it.

4. The relationship between the probability that the FDA will approve a given drug and the number of patients enrolled in the clinical trials of the drug.

5. The relationship between the sales of a given brand of cereal in a grocery store and the amount of shelf space devoted to displaying it?