Graphs of Functions

1 mark

Brogan needs to draw the graph of $y = x^{2} + 1$

Here is her graph.

q1-easy-2-17-graph-of-equation-edexcel-gcse-maths

Write down one thing that is wrong with Brogan's graph.

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2 marks

On the grid, construct the graph of $x^{2} + y^{2} = 16$

q1-hard-2-17-graph-of-equation-edexcel-gcse-maths

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3 marks

Find estimates for the solutions of the simultaneous equations

$\begin{array}{rcl} x^{2} + y^{2} & = & 16 \\ y & = & 2 x + 1 \end{array}$

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2 marks

Complete the table of values for $y = 2^{x}$

$x$	$- 2$	$- 1$	$0$	$1$	$2$	$3$
$y$	$0.25$			$2$

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2 marks

On the grid, draw the graph of $y = 2^{x}$ for values of $x$ from $— 2 to 3$

q1-medium-2-17-graph-of-equation-edexcel-gcse-maths

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Description of function	Graph
$f (x)$ is inversely proportional to $x$
$f (x)$ is a trigonometrical function
$f (x)$ is an exponential function
$f (x)$ is directly proportional to $\sqrt{x}$

Edexcel GCSE Maths

$x$	$0.5$	$1$	$2$	$4$	$5$	$8$
$y$		$4$	$2$

$x$	0.25	0.5	1	2	4	8
$y$	16.25					8.5

$x$	-2	-1	-0.5	0	1	1.5	2	3
$y$			4.875	4		-1.625

$x$	$- 1$	$0$	$1$	$2$	$3$	$4$	$5$
$y$	$6$				$2$		$12$