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91947 – Worked Solutions - 2025

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QUESTION ONE

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1.4 (AS 91947) – 2025 Answers

Quite often, there are different ways to solve a Mathematics problem.

These solutions/strategies show one possible way to solve them.

Question 1(a)

Question 1(b)

Question 1(c)

Question 1(d) i

Question 1(d) ii

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(a)

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13

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Question 1(a)

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Question 1(a)

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Question 1(a)

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23

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(a)

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Question 1(b)

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Question 1(b)

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Question 1(b)

 

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Question 1(b)

 

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Question 1(b)

 

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Question 1(b)

 

 

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Question 1(b)

 

 

 

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Question 1(b)

 

 

 

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Question 1(b)

 

 

 

 

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Question 1(c)

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Question 1(c)

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Question 1(c)

 

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Question 1(c)

 

 

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Question 1(c)

 

 

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Question 1(c)

 

 

 

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Question 1(c)

 

 

 

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Question 1(c)

 

 

 

 

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Question 1(c)

 

 

 

 

 

 

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Question 1(c)

 

 

 

 

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Question 1(d) i

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1

11

2

29

3

83

4

245

5

731

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Question 1(d) i

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1

11

2

29

3

83

4

245

5

731

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Question 1(d) i

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29 – 11 = 18

83 – 29 = 54

245 – 83 = 162

731 – 245 = 486

 

1

11

2

29

3

83

4

245

5

731

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Question 1(d) i

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54 – 18 = 36

162 – 54 = 108

486 – 162 = 324

 

1

11

2

29

3

83

4

245

5

731

29 – 11 = 18

83 – 29 = 54

245 – 83 = 162

731 – 245 = 486

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Question 1(d) i

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1

11

2

29

3

83

4

245

5

731

54 – 18 = 36

162 – 54 = 108

486 – 162 = 324

29 – 11 = 18

83 – 29 = 54

245 – 83 = 162

731 – 245 = 486

 

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Question 1(d) i

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1

11

2

29

3

83

4

245

5

731

54 – 18 = 36

162 – 54 = 108

486 – 162 = 324

29 – 11 = 18

83 – 29 = 54

245 – 83 = 162

731 – 245 = 486

 

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Question 1(d) i

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1

11

2

29

3

83

4

245

5

731

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Question 1(d) i

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11

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245

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731

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Question 1(d) i

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731

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Question 1(d) i

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245

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731

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Question 1(d) i

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11

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29

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245

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731

 

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Question 1(d) i

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11

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29

3

83

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245

5

731

 

 

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Question 1(d) i

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11

2

29

3

83

4

245

5

731

 

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Question 1(d) ii

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Question 1(d) ii

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Question 1(d) ii

 

1

11

2

29

3

83

4

245

5

731

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Question 1(d) ii

 

 

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Question 1(d) ii

 

 

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Question 1(d) ii

 

 

 

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Question 1(d) ii

 

 

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Question 1(d) ii

 

Other possible features;

Feature #4

The graph has no line symmetry.

Feature #5

There are NO maximum or minimum Turning Points.

Feature #6

The function gets steeper as x heads to infinity and gets less steep (flatter) as x heads to negative infinity.