Graphs of Functions (OCR GCSE Maths)

Exam Questions

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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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$x$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$
$y$			$3$	$0$			$15$

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

$x$	$0.5$	$1$	$2$	$3$	$4$	$5$	$6$
$y$		$6$	$3$		$1.5$		$1$

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

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

Equation	Graph
$y = \frac{2}{x^{2}}$	....................
$y = - \frac{1}{2} x^{3}$	....................
$y = - \frac{5}{x}$	....................

Equation	Graph
$y = \sin x$
$y = x^{3} + 4 x$
$y = 2^{x}$
$y = \frac{4}{x}$

$□$	$\sin y > 0$ and $\cos y > 0$
$□$	$\sin y > 0$ and $\cos y < 0$
$□$	$\sin y < 0$ and $\cos y > 0$
$□$	$\sin y < 0$ and $\cos y < 0$

x	0	5	10	15	20
N	0.45	0.63		1.24

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

Graphs of Functions (OCR GCSE Maths)

Exam Questions

1. Number Operations & Integers

Number Toolkit

Prime Factors, HCF & LCM

2. Fractions, Decimals & Percentages

Fractions

Percentages

Working with FDP

3. Indices & Surds

Powers, Roots & Standard Form

Surds

4. Approximation & Estimation

Rounding, Estimation & Bounds

Using a Calculator

5. Ratio, Proportion & Rates of Change

Ratio Toolkit

Ratio Problem Solving

Direct & Inverse Proportion

Exchange Rates & Best Buys

Simple & Compound Interest, Growth & Decay

6. Algebra

Algebra Toolkit

Algebraic Roots & Indices

Expanding Brackets

Factorising

Completing the Square

Algebraic Fractions

Rearranging Formulae

Algebraic Proof

Linear Equations

Solving Quadratic Equations

Solving Inequalities

Simultaneous Equations

Iteration

Forming & Solving Equations

Functions

Sequences

7. Graphs of Equations & Functions

Coordinate Geometry

Linear Graphs y = mx + c

Graphing Inequalities

Graphs of Functions

Equation of a Circle

Estimating Gradients & Areas under Graphs

Real-Life Graphs

Transformations of Graphs

8. Basic Geometry

Geometry Toolkit

Angles in Polygons & Parallel Lines

Circle Theorems

9. Congruence & Similarity

Congruence, Similarity & Geometrical Proof

Area & Volume of Similar Shapes

Vectors

Transformations

10. Mensuration

Standard & Compound Units

Bearings, Scale Drawing, Constructions & Loci

Area & Perimeter

Circles, Arcs & Sectors

Volume & Surface Area

Right-Angled Triangles - Pythagoras & Trigonometry

Sine, Cosine Rule & Area of Triangles

3D Pythagoras & Trigonometry

11. Probability

Probability Toolkit

Simple Probability Diagrams

Tree Diagrams

Combined & Conditional Probability

12. Statistics

Statistics Toolkit

Statistical Diagrams

Histograms

Cumulative Frequency & Box Plots

Scatter Graphs & Correlation