IB Maths AA SL 2.8 Reciprocal and Rational Functions Topic Practice

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Study SL 2.8—Reciprocal and rational functions conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 3]

Let $f(x)=\frac{2 x-6}{1-x}$ , for $x \neq 1$ .

(a)

For the graph of f

[ 3 ]

(i)

write down the equation of the vertical asymptote;

[ 1 ]

$\quad x=1$ (must be equation)

(ii)

find the equation of the horizontal asymptote.

[ 2 ]

valid approach
eg sketch, $\frac{2 x}{-1 x}$ , inputting large values of x, L'Hopital's rule y=-2 (must be equation)

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