Further Graphs & Tangents (Cambridge (CIE) IGCSE Maths: Extended)

Exam Questions

4 hours24 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.

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

$x$	-1	-0.5	0	0.5	1	1.5	2
$y$	-3	1.75				0.75	3

$x$	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

$x$	$0$	$1$	$2$	$3$	$4$
$y$		$2$	$4$	$8$

$x$	-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

$x$	-3	-2.5	-2	-1.5	-1	0	1	1.5	2	2.5	3
$y$	-19	-9.1		0.1	1	-1	-3	-2.1	1	7.1