Methods2023 Exam 1 · Q3Tech-free4 marks

Sketching a hyperbola and solving an inequality

Sketch the graph of $f(x) = 2 - \frac{3}{x - 1}$ on the axes below, labelling all asymptotes with their equations and axial intercepts with their coordinates.

Blank grid with x-axis marked from -3 to 4 and y-axis marked from -2 to 6, on which students sketch the graph of f.

3 marks

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Find the values of $x$ for which $f(x) \le 1$ .

1 mark

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