Pre-Calculus Desmos File Library

Absolute Value Function
Conic Sections

General Conic Equations

Circles

Parabolas

Ellipses

Hyperbolas

Piecewise Functions

Piecewise 101: 1 piece function
  • DESMOS file
  • this will allow you to plot a piecewise function with 1 rule 
  • this will allow you to toggle the type of endpoints each constraint has
  • this will allow you to see integer x coordinates within the constraints
  • this will allow you to show behavior as x approaches boundary values from the left or right 
Piecewise 101: 2 piece function
  • DESMOS file
  • this will allow you to plot a piecewise function with 2 rules 
  • this will allow you to toggle the type of endpoints each constraint has
  • this will allow you to see integer x coordinates within the constraints
  • this will allow you to show behavior as x approaches boundary values from the left or right 
Piecewise 101: 3 piece function
  • DESMOS file
  • this will allow you to plot a piecewise function with 3 rules 
  • this will allow you to toggle the type of endpoints each constraint has
  • this will allow you to see integer x coordinates within the constraints
  • this will allow you to show behavior as x approaches boundary values from the left or right 
Piecewise 101: 4 piece function
  • DESMOS file
  • this will allow you to plot a piecewise function with 4 rules 
  • this will allow you to toggle the type of endpoints each constraint has
  • this will allow you to see integer x coordinates within the constraints
  • this will allow you to show behavior as x approaches boundary values from the left or right 
Piecewise 101: 5 piece function
  • DESMOS file
  • this will allow you to plot a piecewise function with 5 rules 
  • this will allow you to toggle the type of endpoints each constraint has
  • this will allow you to see integer x coordinates within the constraints
  • this will allow you to show behavior as x approaches boundary values from the left or right 
Piecewise 101: 6 piece function
  • DESMOS file
  • this will allow you to plot a piecewise function with 6 rules 
  • this will allow you to toggle the type of endpoints each constraint has
  • this will allow you to see integer x coordinates within the constraints
  • this will allow you to show behavior as x approaches boundary values from the left or right 

Step Functions

Step Functions 101: Ceiling Function
  • DESMOS File
  • this is also called the greatest integer function 
  • notice the types of endpoints 
Step Functions 101: Floor Function
  • DESMOS File
  • this is also called the least integer function 
  • notice the types of endpoints 

Absolute Value Functions

Absolute Value Function 101: Parent Absolute Value Function and its reflection
​Parent Function
A = 1
​Reflection of Parent Function
A = -1
Absolute Value Function 101: All A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the different types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
    • 0 < A < 1 Vertical Compression
    • A = 1 Parent Function
    • A > 1 Vertical Stretch
Absolute Value Function 101: All Negative A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of tNEGATIVE A types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
Parent Function
A = 1
Reflection of Parent Function
A = -1
Reflection of Vertical Compression of Parent Function
-1 < A  < 0
Reflection of Vertical Stretch of Parent Function
A  < -1
Absolute Value Function 101: All A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the different types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
    • 0 < A < 1 Vertical Compression
    • A = 1 Parent Function
    • A > 1 Vertical Stretch
Absolute Value Function 101: All A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the different types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
    • 0 < A < 1 Vertical Compression
    • A = 1 Parent Function
    • A > 1 Vertical Stretch

Parabolas

Continuous Functions

Not Continuous Functions

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