Students will identify appropriate input values (domain) and output values (range), determine inputs for which the function values increase, decrease or remain constant, find inputs resulting in a maximum or a minimum output value, and when needed, identify inputs which result in outputs that are less than or greater than a given value. Related equations and inequalities will be solved when analysis and meaningful interpretation necessitates such algebraic methods.
 

Example A. The following graph represents the sales over several years for the Amexro Company. Use this graph to answer the following questions. Assume that the labels identify the locations needed.

1. Between what years did the sales increase? _______________________________________________

2. Between what years did the sales decrease? _______________________________________________

3. Between what years were the sales constant? ______________________________________________

4. For what year(s) were the sales $10,000,000? ______________________________________________

5. In what year were the largest sales recorded? _____________________________________________

 
Example B. The following graph is of the function y = f(x). Use this graph to answer the following questions. Assume that the labels identify the locations needed.

1. State the interval(s) on which f increases. _______________________________________________

2. State the interval(s) on which f decreases. _______________________________________________

3. State the interval(s) on which f is constant. ______________________________________________

4. For what value(s) of x is f(x) = 45? ______________________________________________________

5. What is the minimum value of f ? ______________________________________________________

6. For what value of x is f(x) a minimum? __________________________________________________