Algebra II WS 7.4 - Graphing Logarithmic Functions

Name: _________________ Block: _______

Directions: Graph the following logarithmic functions. Label key points, list transformations, write the equations of the asymptotes (also include on the graph) and describe the domain and range. 1)

y  log 4 x

Parent Function: ___________ x

y

3) y  log 3 x  4

2) y  log 2 ( x  3)

x

y

Parent Function: ___________ x

y

x

y

Parent Function: ___________ x

y

x

y

Domain: ___________

Domain: ___________

Domain: ___________

Range: ___________

Range: ___________

Range: ___________

Equation of the Asymptote: ________________

Equation of the Asymptote: ________________

Equation of the Asymptote: _______________

End behavior: ______________

End behavior: ______________

End behavior: _____________

______________

______________

______________

Transformations:

Transformations:

4) y   log 4 ( x  2)  1

6) y  log 1 x  2

5) y  2 log 5 ( x  1)  3

2

Parent Function: ___________ x

x

y

Parent Function: ___________ x

y

x

y

y

Parent Function: _________ x

y

x

y

Domain: ___________

Domain: ___________

Domain: ___________

Range: ___________

Range: ___________

Range: ___________

Equation of the Asymptote: ________________

Equation of the Asymptote: ________________

Equation of the Asymptote: _______________

End behavior: ______________

End behavior: ______________

End behavior: _____________

______________

______________

______________

Transformations:

Transformations:

Transformations:

Evaluate the logarithms. 7) log 27 9

8) log8 32

9) log125 625

10) log 4 128