Mr Hickman's Class 2022-2023
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Rational Functions Practice


Goals: 
  • Determine the parts of a rational function
    • Y intercept
      • plug in x = 0 into given function
    • X intercepts
      • determine the root(s) of the numerator
    • Holes 
      • Does the numerator and denominator share a common factor that contains a variable?
        • If yes, then the root of the cancelled term is the x coordinate of the hole of the rational function
        • If yes, then the y coordinate of the hole of the rational function can be found by replacing root of canceled term into the simplified rational function
  • Horizontal Asymptote
    • Is the rational function BOTTOM heavy?  (degree in denominator is larger than numerator)
      • If Yes, then y = 0 is horizontal asymptote
    • Is the rational function TOP heavy?  (degree in denominator is smaller than numerator)
      • If Yes, then NO horizontal asymptote
    • Does the rational function have functions in the numerator and denominator of equal degree?
      • If Yes, then the horizontal asymptote is equal to the ratio of the lead coefficients
  • Vertical Asymptote(s)
    • determine the roots of the denominator

KUTA Worksheets


KUTA Graphing Rational Functions 1
  • PDF​
  • Worked Out Solutions 1
  • DESMOS Support Document
KUTA Graphing Rational Functions 2
  • PDF​
  • DESMOS Support Document
KUTA Graphing Rational Functions 3
  • PDF​
  • DESMOS Support Document

KUTA Graphing Rational Functions 4
  • PDF​

Hickman Originals


Formative Assessment
Rational Functions Basic Vocabulary
  • PDF
  • WORD
Follow up Questions to FA
  • PDF
Related Graphs to FA
  • PDF
These files require TI NSPIRE Software
​​Related TI NSPIRE Document
  • TNS
​Related TI NSPIRE Generator
  • TNS

GP Rational Function Parts 1
  • PDF
  • WORD
  • DESMOS Support Document
REM Rational Function Parts 1
  • PDF
  • WORD
  • DESMOS Support Document
Review for Future Assessments Rational Functions Part 1
  • Review PDF
  • Graph Support PDF
  • WORD

These files require TI NSPIRE Software
  • TNS

  • Formative Assessment on labelling parts of a rational function from its factored form (last used 4-29-22)
    • ​PDF
    • WORD
    • Worked out solutions
    • DESMOS Support Files
      • Problem 1 
      • Problem 2
      • Problem 3
      • Problem 4

Other Related Resources Found on the Internet


Graphing Rational Functions Practice 
Unit 1: Algebra II Review Section 7 Worksheet#1
  • PDF
  • KEY
Graphing Rational Functions A
  • PDF
Graphing Rational Functions 
GUIDED NOTES AND PRACTICE 1
  • PDF
Graphing Rational Functions 
GUIDED NOTES AND PRACTICE 2
Section 2.3 Rational Functions
  • PDF
Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you