Section Exercises
1. The inverse of every logarithmic function is an exponential function and vice-versa. What does this tell us about the relationship between the coordinates of the points on the graphs of each? 2. What type(s) of translation(s), if any, affect the range of a logarithmic function? 3. What type(s) of translation(s), if any, affect the domain of a logarithmic function? 4. Consider the general logarithmic function . Why can’t x be zero? 5. Does the graph of a general logarithmic function have a horizontal asymptote? Explain. For the following exercises, state the domain and range of the function. 6. 7. 8. 9. 10. For the following exercises, state the domain and the vertical asymptote of the function. 11. 12. 13. 14. 15. For the following exercises, state the domain, vertical asymptote, and end behavior of the function. 16. 17. 18. 19. 20. For the following exercises, state the domain, range, and x- and y-intercepts, if they exist. If they do not exist, write DNE. 21. 22. 23. 24. 25. For the following exercises, match each function in the graph below with the letter corresponding to its graph.





