Apps. and Interpretation for IBDP Maths Ebook 1 | Page 24

Your Practice Set – Applications and Interpretation for IBDP Mathematics
4
Paper 1 – Rational Functions
Example
Consider the graph of the function
4
f( x) �1�
x , x � 0 .
(a) Find the value of x such that f( x ) � 0 .
(b)
(c)
Write down the equation of the vertical asymptote.
Write down the equation of the horizontal asymptote.
[2]
[2]
[2]
Solution
(a) f( x ) � 0
4
1�
�0
x
(M1) for setting equation
4
1 � x
x � 4
A1 N2
(b) x � 0
A2 N2
(c) y �1
A2 N2
[2]
[2]
[2]
Exercise 4
1. Consider the graph of the function
2
f( x) � �5
, x ��3.
x � 3
(a) Find the value of x such that f( x ) � 0 .
(b)
(c)
Write down the equation of the vertical asymptote.
Write down the equation of the horizontal asymptote.
[2]
[2]
[2]
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