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3.4 Graphs and Domains of Logarithmic Functions: Homework Exercises

Characterize the graph of each of the following (#1-24), naming the domain, vertical  asymptote, range,  x-intercept, and one extra point.  Then sketch the graph by hand using this information.

1.      

2.     

3.   

4.   

5.   

6.   

7.   

8.   

9.          

10.   

11.   

12.   

13.                 

14.          

15.   

16.    

17.   

18.   

19.   

20.   

21.  Find the domains of the following functions

     a)   

b)   

c)  

     d)            

e)            

f)   

     g)   

h)                           

22.  For what values of x is ?   (Hint: Compare the graphs.)             

23.  For what values of x is ? (Hint: Compare the graphs.)         

24.  Without using a calculator, match the functions , , ,

       with their graphs below.