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2020 VCE Maths Methods Mini Test 3
Adapted for Year 11. Unit 1 & 2.
Number of marks: 8
Reading time: 2 minutes
Writing time: 12 minutes
Section A – Calculator Allowed
Instructions
• Answer all questions in pencil on your Multiple-Choice Answer Sheet.
• Choose the response that is correct for the question.
• A correct answer scores 1; an incorrect answer scores 0.
• Marks will not be deducted for incorrect answers.
• No marks will be given if more than one answer is completed for any question.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.
The graph of the function \(f: D \to R, f(x) = \frac{3x+2}{5-x}\), where \(D\) is the maximal domain, has asymptotes
- A. \(x = -5, y = -\frac{3}{2}\)
- B. \(x = -3, y = 5\)
- C. \(x = \frac{2}{3}, y = -3\)
- D. \(x = 5, y = 3\)
- E. \(x = 5, y = -3\)
Part of the graph of \(y = f'(x)\) is shown below.
The corresponding part of the graph of \(y = f(x)\) is best represented by
End of Section A
Section B – No Calculator
Instructions
• Answer all questions in the spaces provided.
• Write your responses in English.
• In questions where a numerical answer is required, an exact value must be given unless otherwise specified.
• In questions where more than one mark is available, appropriate working must be shown.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.
Shown below is part of the graph of a period of the function of the form \(y = \tan(ax+b)\).
The graph is continuous for \(x \in [-1, 1]\).
Find the value of \(a\) and the value of \(b\), where \(a > 0\) and \(0 < b < 1\). 3 marks
Solve the equation \(2\log_2(x+5) - \log_2(x+9) = 1\). 3 marks
End of examination questions
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