Honors Algebra II
Algebra II--Notes on Logarithmic Functions Name ______________________________
Parent function:
Work with graphing calculator to do the following tasks:
1. Graph parent function: y = [pic]log(x).
2. What is the asymptote? ______________
3. What is the Domain? _____________
4. What is the Range ? _____________
Graph the parent and each of the following functions on your calculator. Describe the changes.
Part A:
1. y = log(x) + 3 ____________________________________________________________
2. y = log(x) - 5 ____________________________________________________________
What can you say about values added/subtracted outside of the function?
______________________________________________________________________________________
Has the asymptote changed? ________________________________
Part B:
3. y = log(x + 2) ____________________________________________________________
4. y = log(x – 8) ____________________________________________________________
What can you say about values added/subtracted inside the function?
_________________________________________________________________________________________
Has the asymptote changed? If so, how? _______________________________________________________
Part C:
Now describe the changes if Part A and B are put together. Also, list the asymptote equations.
5. y = log(x + 2) - 5 ____________________________________________________________
6. y = log(x – 3) + 7 ____________________________________________________________
Part D: Now put in these functions and describe the changes
7. y = 5 log(x) ____________________________________________________________
8. y = 1/3 log(x) ____________________________________________________________
9. y = - log(x) ____________________________________________________________
What can you say about values multiplied outside the function? What about the asymptote?
_______________________________________________________________________________________
Part E: Describe the changes that will take place from the parent graph. List any asymptotes.
10. y = 5 log(x) + 3 ____________________________________________________________
11. y = -2 log(x-4) ________________________________________________________________
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