1. (20 points) Identify a concept/topic/procedure/formula from the Chapters 3, 4 and 5in Survey in Calculus and describe how you use this concept/topic/procedure/formula in your real-life examples. Construct a function that models a real-life application.

2. (20 points) Analyze the model function by answering the following questions:

1. Determine the intervals for which your function increases and decreases.
2. What are the extreme points of your model?
3. What are the absolute extreme points of your model over its domain?
4. Determine the intervals for which your function is concave up and concave down.
5. What is the point of inflection for your data?
6. Choose two data points and determine the average value of your model over the interval between those two points.
7. State the first derivative of your model.
8. Using the first derivative and two data points evaluate the definite integral over the interval and interpret your answer.
9. Using your data and the function describing it, write a word problem that requires derivative and /or integral for solving. Include the solution and explain the answer in the context of the data.