Unit Objectives

After you have completed this unit, you will be able to:

1. Determine if a given set of data is directly or inversely related.
2. Determine the constant of variation.
3. Represent direct and inverse variations algebraically.
4. Represent direct and inverse variations graphically.
5. Make predictions about values based on the equation found for inverse or direct variation.
6. Recognize and graph the parent function .
7. Investigate the effects of changes each of the three values (a, h, k) make on the parent function.
8. Based on the investigation, describe the changes that are made.
9. Predict what a graph will look like given various values of a, h, and k.
10. Determine the domain and range of a given rational function.
11. Determine if a given value is a solution to a rational equation.
12. Solve a rational equation algebraically.
13. Estimate the value of the solution to a rational equation using a graph.
14. Determine the solution set for a rational inequality using a graph, table, or algebraic methods.