Further Graphs & Tangents (CIE IGCSE Maths: Extended)

Exam Questions

4 hours23 questions

4 marks

On the diagram, sketch the graph of $y = (x + 1) {(x - 3)}^{2}$ .
Label the values where the graph meets the $x$ -axis and the $y$ -axis.

cie-igcse-2020-oct-nov-p4-tz3-q7b

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Function	$y = x + 1$	$y = 1 - \frac{x}{3}$	$y = 2 x^{2}$	$y = - \frac{4}{x}$
Diagram	E

$x$	0.2	0.3	0.5	1	1.5	2	2.5
$y$	5.0	3.4	2.3		2.9		6.7

$x$	$- 3$	$- 2$	$- 1$	$- 0.5$	$- 0.3$		$0.2$	$0.3$	$0.5$	$1$	$2$	$3$
$y$	$5.3$	$3.3$		$8.1$	$17.8$			$4.5$	$0.1$	$- 0.5$	$1.3$

$x$	$- 3$	$- 2$	$- 1.5$	$- 1$	$0$	$1$	$1.5$	$2$	$2.5$	$3$
$y$	$- 3$	$6$	$6.4$		$0$		$- 1.9$	$2$	$9.4$

$x$	-3	-2	-1.5	-1	0	1	1.5	2	3
$y$			2.0	1.7	0		-2.0	-1.6

$x$	-0.75	-0.5	-0.25	0	0.5	1	1.5	2	2.5	2.75
$y$	-2.9	-1.4	-0.5		-0.1	-1	-1.9		-0.6

$x$	0.5	1	2	3	4	5	6
$f (x)$	-7.9	-3.8		0.9		5.5	8.3

$x$	-4	-3	-2	-1		1	2	3	4
$g (x)$	-2.3		-4.5	-9		9	4.5		2.3

$x$	-10	-8	-5	-2	-1.6		1.6	2	5	8	10
$f (x)$	-12	-10.5	-9	-12	-14.1		14.1	12			12

$x$	-3.5	-3	-2.5	-2	-1.5	-1	-0.5	0	0.5	1	1.5
$y$	-4.1		5.1	6	5.4	4	2.6		2.9		12.1