functi_0125 [13 marks]

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Details

Topic: Functions and graphs (Algebra and graphs)
Marks: 13
Tier: Extended
Style: Structured
Calculator: Not tagged yet
Status: Usable
Source: functionsngraphsclassified.pdf, page 62, 0580/41/O/N/10 (original Paper 4)
Import issues: None

Part	Answer	Mark	Guidance
(a)(i)	3	1
(a)(ii)	4	1
(a)(iii)	4x − 3	2	M1 for 2(2x − 1) − 1
(a)(iv)	(x + 1)/2	2	M1 for x = 2y − 1 or y + 1 = 2x
(a)(v)	1.5 and −0.5	4	M1 for (2x − 1)² = 4; M1 for 2x − 1 = ±2 or 4x² − 4x − 3 = 0; A1 A1
(b)(i)	y = 16/x	2	M1 for y = k/x
(b)(ii)	32	1	FT their k × 2