Graphs of Functions | Edexcel GCSE Maths: Foundation Topic Questions 2017

1

2 marks

The diagram shows four graphs.

Four graphs labelled Graph, A, Graph B, Grraph C and Graph D

Each of the equations in the table is the equation of one of the graphs.

Complete the table.

Equation	Letter of Graph
$\begin{matrix} \end{matrix} y = - x^{2} \begin{matrix} \end{matrix}$
$\begin{matrix} \end{matrix} y = \frac{1}{x} \begin{matrix} \end{matrix}$
$\begin{matrix} \end{matrix} y = x^{2} \begin{matrix} \end{matrix}$
$\begin{matrix} \end{matrix} y = x^{3} \begin{matrix} \end{matrix}$

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1

2 marks

Here is the graph of $y = x^{2} - 5 x + 3$

Graph of the equation y=x^2-6x+5

Use your graph to find the solutions to $x^{2} - 6 x + 5 = - 3$

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1

2 marks

Here is the graph of $y = x^{2} - 5 x + 3$

Graph of the equation y=x^2-5x+3

Use your graph to find estimates of the solutions to $0 = x^{2} - 5 x + 3$

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$x$	$- 4$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$	$4$
$y$	$- 0.25$					$1$	$0.5$

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

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

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

$x$	$- 6$	$- 3$	$0$	$3$	$6$	$9$	$12$	$15$
$y$	$96$			$- 21$	$- 24$		$24$	$75$

$x$	-5	-4	-3	-2	-1		1	2	3	4	5
$y$		-2	-2.7	-4	-8		8	4	2.7

Graphs of Functions (Edexcel GCSE Maths: Foundation)