Exponential Function Graphing

Graphing basics of Exponential Functions

Types of Problems:

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

Notes & Handouts

Practice 

Video and other resources

Exponential Functions with base a (linear input)

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

Types of Problems:

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

Notes & Handouts

Practice

​Video and other resources

Exponential Functions with base a (quadratic input)

Graphing y = g+a^(bx^2+cx+d)

​Types of Problems:

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

​Practice

​Video and other resources

​Notes & Handouts

Exponential Functions with base a (non-linear input & non-quadratic input)

Graphing y =d+a^(f(x))

​Types of Problems:

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

​Practice

​Video and other resources

​Notes & Handouts

Exponential Functions with base e (linear input)

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

​​Types of Problems:

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

​​Notes & Handouts

​​Practice

​Video and other resources

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

​​Practice

​Video and other resources

​​Notes & Handouts

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

​Graphing y =d+e^(f(x))

​​Types of Problems:

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

​​Practice

​​Video and other resources

​​Notes & Handouts