Unit Objectives

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

1. Explore exponential functions and their inverses.
2. Define logarithmic functions based on the comparison of exponential and logarithmic functions.
3. Translate an exponential function into its corresponding logarithmic function.
4. Understand properties of logarithms as they relate to exponents.
5. Simplify logarithmic expressions using properties of logarithms.
6. Identify and sketch the parent function y = bx.
7. Investigate the effects of changes each of the four values (a, c, h, and 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, c, h, and k.
10. Determine the domain and range of an exponential function.
11. Interpret real life exponential growth/decay problems.
12. Graph exponential growth/decay.
13. Identify and sketch the parent function y = log(x).
14. Investigate the effects of changes each of the three values (a, h, k) make on the parent function.
15. Predict what a graph will look like given various values of a, h, and k.
16. Determine the domain and range of a logarithmic function.
17. Determine if a value is a solution to an exponential or logarithmic equation.
18. Solve exponential and logarithmic equations algebraically.
19. Estimate the value of the solution to an exponential or logarithmic equation using a graph.