Page 66 - ADVANCED MATH F.5

Form Five Form Five

(b) (c)

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4.  1 
:
5. Range: yy ∈ , y ≥− 

 4 
6. ()fx goes to large positive ∞

7. Domain = { :xx∈ }
Range = { :yy ∈ , y ≥ } 0

8. Domain = { :xx∈ }
Range = { :yy ∈ , y ≤ } 1

9. ()fx increases to +∞

10. Range = { :yy ∈ , 20.9− ≤ y ≤ 126 }

Graphs of rational functions
Teaching steps
1. Devise strategies for assisting students to brainstorm on how
to recognize rational functions. Assist them in identifying the
numerator and denominator of a rational function.
2. Through discussion introduce to students the concept of an
asymptote. Assist students in exploring the nature of horizontal,
vertical, and oblique asymptotes.

60
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 60 30/06/2024 18:02:02
ADVANCED MATH F.5 TG CHAPTERS.indd 60