Specialist2026 NHT Exam 1 · Q9Tech-free6 marks

Rational function with a parabolic asymptote

The asymptotes of the graph of $f(x) = \frac{2x^3 - 3x^2 - 3x + 2}{2x - 2}$ are shown below.

Find the equation of the parabolic asymptote.

2 marks

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Find the $x$ -intercepts of the graph of $f(x)$ .

2 marks

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Given that there is a turning point, $P$ , at approximately $(-0.14, -1.03)$ as shown, sketch the graph of $y = f(x)$ on the axes provided on page 8, labelling the $y$ -intercept.

2 marks

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