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AS & A2 (Whole Course) - All Questions - Casio fx-991EX
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OCR MEI H640/03 Jun 2024 A2 Exam Q. 9
6 marks in 9:36 min.
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OCR MEI H640/01 Jun 2018 A2 Exam Q. 2
2 marks in 2:24 min.
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OCR H240/02 Jun 2024 A2 Exam Q. 4 a
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OCR H240/02 Nov 2021 A2 Exam Q. 2
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Jun 26 A2
Exam Q 2 a
Jun 26 A2
Exam Q 2 a
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Jun 24 A2
Exam Q 3 a
Jun 24 A2
Exam Q 3 a
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Jan 23 A2
Mock Q 2 b
Jan 23 A2
Mock Q 2 b
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Jun 19 A2
Shadow Q 11 b
Jun 19 A2
Shadow Q 11 b
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Jun 19 A2
Exam Q 11 b
Jun 19 A2
Exam Q 11 b
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Jan 19 A2
Mock Q 7 a
Jan 19 A2
Mock Q 7 a
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Jun 18 A2
Exam Q 4 a
Jun 18 A2
Exam Q 4 a
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May 18 A2
Mock Q 6 c
May 18 A2
Mock Q 6 c
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May 17 A2
Sample Q 8 a
May 17 A2
Sample Q 8 a
Edexcel 9MA0/01 Jun 2026 A2 Exam Q. 2 a
2 marks in 2:24 min.
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Edexcel 9MA0/01 Jun 2024 A2 Exam Q. 3 a
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Edexcel 9MA0/02 Jan 2023 A2 Mock Exam Q. 2 b
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Edexcel 9MA0/02 Jun 2019 A2 Shadow Exam Q. 11 b
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Edexcel 9MA0/02 Jun 2019 A2 Exam Q. 11 b
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Edexcel 9MA0/02 Jan 2019 A2 Mock Exam Q. 7 a
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Edexcel 9MA0/01 Jun 2018 A2 Exam Q. 4 a
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Edexcel 9MA0/02 May 2018 A2 Mock Exam Q. 6 c
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Edexcel 9MA0/01 May 2017 A2 Sample Exam Q. 8 a
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AQA 7357/1 Nov 2021 A2 Exam Q. 7 a
2 marks in 2:24 min.
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AQA 7357/2 Jun 2017 A2 Sample Exam Q. 4 a
2 marks in 2:24 min.
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Zoom in on locating roots
Change of Sign - Zooming In to Find Roots
Let \(f(x) = {x^3} - 3x - 5\).
To solve \({x^3} - 3x - 5 = 0\) , we need to find where the \(f(x)\) crosses the x-axis.
To do this we can display the graph \(f(x) = {x^3} - 3x - 5\) using computer software or a graphic calculator, and zoom in on the interval where the curve crosses the x-axis.
In the display below, you can use the navigation button to zoom in on the crossing point. A crossing point between x = 2.25 and x = 2.30 means the solution is 2.3 to 1 decimal place. As you zoom in further, you can narrow the limits of the solution further, and therefore give the solution with an increasing number of decimal places accuracy. Can you give the solution to 4 decimal places, or maybe 5?
After you have solved the initial problem, you can change coefficient b to 3 (for multiple solutions), and then change all the coefficients to investigate other cubic curves.