Rational Function Graphing

Graphing Basics of Rational Functions

Types of Problems:

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

Notes & Handouts

Practice 

Video and other resources

Graphing y = 1/(ax+b), y=c/(ax+b), y=(cx+d)/(ax+b), y =(cx^2+dx+g)/(ax+b)

Types of Problems:

  • Be able to sketch a rational function and label its important parts.​
  • Be able to state the domain and range of a rational function
  • Be able to discuss the nature of the graph based on its numerator function and denominator function

Notes & Handouts

Practice

​Video and other resources

DESMOS File: Graphing Rational with Linear Denominator
DESMOS File: Graphing Rational Functions with Linear Denominator 2
DESMOS File: Graphing Rational Functions with Linear Numerator and Denominator

Graphing y = 1/(ax^2+bx+c), y=d/(ax^2+bx+c), y=(dx+g)/(ax^2+bx+c),
y=(dx^2+gx+h)/(ax^2+bx+c)

​Types of Problems:

  • Be able to sketch a rational function and label its important parts.​
  • Be able to state the domain and range of a rational function
  • Be able to discuss the nature of the graph based on its numerator function and denominator function

​Practice

​Video and other resources

DESMOS Graphing Rational Functions with Quadratic Denominator
DESMOS File: Graphing Rational Functions with Quadratic Denominator 2
DESMOS File: Graphing Rational Function with Linear Numerator and Quadratic Denominator
DESMOS File Graphing Rational Functions with Quadratic Numerator and Denominator

​Notes & Handouts

Graphing y =f(x)/g(x)

​Types of Problems:

  • Be able to sketch a rational function and label its important parts.​
  • Be able to state the domain and range of a rational function
  • Be able to discuss the nature of the graph based on its numerator function and denominator function

​Practice

​Video and other resources

​Notes & Handouts