Algebra II
Unit 5B – Exponentials & Logs
5B.3 – Graphing Logs - Notes
Name: _____________________________________
Date: ____________________
1. y  log4 x
State 3 points on Graph______________________________
Domain___________ Range_____________
Asymptote___________
Increasing or Decreasing
X-intercept __________
Y-intercept ___________
End Behavior
x  ______,f  x   ______
x  ______,f  x   ______
2. y  log 1 x
3
State 3 points on Graph______________________________
Domain___________ Range_____________
Asymptote___________
Increasing or Decreasing
X-intercept __________
Y-intercept ___________
End Behavior
x  ______,f  x   ______
x  ______,f  x   ______
Transformations:
Examples:
1. y  logb  x  2 
2. y  logb  x   5
3. y   logb  x  1
4. y  logb   x  3 
5. y   logb  x  2   7
6. y  logb   x   4
Algebra II
Unit 5B – Exponentials & Logs
5B.3 – Graphing Logs - Notes
Asymptote:
Examples:
1. y  logb  x  2 
2. y  logb  x   5
3. y   logb  x  1
4. y  logb   x  3 
5. y   logb  x  2   7
6. y  logb   x   4
Domain:
Range:
End Behavior:
x  ______,f  x   ______
x  ______,f  x   ______
3. y  log3  x  2 
Transformations: ___________________________________
State 3 points on Graph______________________________
Domain___________ Range_____________
Asymptote___________
Increasing or Decreasing
X-intercept __________
Y-intercept ___________
End Behavior
4. y  log2  x  3   1
x  ______,f  x   ______
x  ______,f  x   ______
Transformations: ___________________________________
State 3 points on Graph______________________________
Domain___________ Range_____________
Asymptote___________
Increasing or Decreasing
X-intercept __________
Y-intercept ___________
End Behavior
x  ______,f  x   ______
x  ______,f  x   ______