Logarithmic Function Graphing

Graphing basics of Logarithmic Functions

Types of Problems:

  • Be able to discuss domain and range of logarithmic functions
  • Be able to determine "nice" points that lie on the graph of  logarithmic functions
  • Be able to describe the behavior of  logarithmic functions
  • Be able to use proper vocabulary related to  logarithmic functions

Notes & Handouts

Practice 

Video and other resources

DESMOS File: Basics of log base b function
DESMOS File: Basics of natural log

Logarithmic Functions with base a (linear input)

Graphing y = g+a log b (cx+d)

Types of Problems:

  • Be able to sketch a single transformation of  logarithmic functions 
  • Be able to sketch combinations of transformations of  logarithmic functions 
  • Be able to discuss domain and range of  transformed versions of  logarithmic functions 
  • Be able to determine "nice" points that lie on the graph of transformed versions of  logarithmic functions
  • Be able to describe the behavior of  transformed versions of  logarithmic functions
  • Be able to use proper vocabulary related to transformed versions of  logarithmic functions 

Practice

​Video and other resources

WEB PAGE single transformations of log functions

Graphing Files

Single Transformations

Two Transformations

Three or More Transformations

DESMOS File: y=g+a log b(cx+d)
DESMOS File: y=g+ log b(c(x-h))

Notes & Handouts

Logarithmic Functions with base b (quadratic input)

Graphing y = g+a log b (cx^2+dx+f)

​Types of Problems:

  • Be able to sketch a single transformation of  logarithmic functions 
  • Be able to sketch combinations of transformations of  logarithmic functions 
  • Be able to discuss domain and range of  transformed versions of  logarithmic functions 
  • Be able to determine "nice" points that lie on the graph of transformed versions of  logarithmic functions
  • Be able to describe the behavior of  transformed versions of  logarithmic functions
  • Be able to use proper vocabulary related to transformed versions of  logarithmic functions 

​Practice

​Video and other resources

​Notes & Handouts

Logarithmic Functions with base b (non-linear input & non-quadratic input)

Graphing y =d+a log b (f(x))

​Types of Problems:

  • Be able to sketch a single transformation of  logarithmic functions 
  • Be able to sketch combinations of transformations of  logarithmic functions 
  • Be able to discuss domain and range of  transformed versions of  logarithmic functions 
  • Be able to determine "nice" points that lie on the graph of transformed versions of  logarithmic functions
  • Be able to describe the behavior of  transformed versions of  logarithmic functions
  • Be able to use proper vocabulary related to transformed versions of  logarithmic functions 

​Practice

​Video and other resources

​Notes & Handouts

Logarithmic Functions with base e (linear input)

Graphing y = d+e^(bx+c)

​​Types of Problems:

  • Be able to sketch a single transformation of  logarithmic functions 
  • Be able to sketch combinations of transformations of  logarithmic functions 
  • Be able to discuss domain and range of  transformed versions of  logarithmic functions 
  • Be able to determine "nice" points that lie on the graph of transformed versions of  logarithmic functions
  • Be able to describe the behavior of  transformed versions of  logarithmic functions
  • Be able to use proper vocabulary related to transformed versions of  logarithmic functions 

​​Notes & Handouts

​​Practice

​Video and other resources

Logarithmic Functions with base e (quadratic input)

​Graphing y = g+e^(bx^2+cx+d)

​​Types of Problems:

  • Be able to sketch a single transformation of  logarithmic functions 
  • Be able to sketch combinations of transformations of  logarithmic functions 
  • Be able to discuss domain and range of  transformed versions of  logarithmic functions 
  • Be able to determine "nice" points that lie on the graph of transformed versions of  logarithmic functions
  • Be able to describe the behavior of  transformed versions of  logarithmic functions
  • Be able to use proper vocabulary related to transformed versions of  logarithmic functions 

​​Practice

​Video and other resources

​​Notes & Handouts

Logarithmic Functions with base e (non-linear input & non-quadratic input)

​Graphing y =d+a log e (f(x))

​​Types of Problems:

  • Be able to sketch a single transformation of  logarithmic functions 
  • Be able to sketch combinations of transformations of  logarithmic functions 
  • Be able to discuss domain and range of  transformed versions of  logarithmic functions 
  • Be able to determine "nice" points that lie on the graph of transformed versions of  logarithmic functions
  • Be able to describe the behavior of  transformed versions of  logarithmic functions
  • Be able to use proper vocabulary related to transformed versions of  logarithmic functions 

​​Practice

​​Video and other resources

​​Notes & Handouts