Photo AI

Here are four graphs - Edexcel - GCSE Maths - Question 18 - 2019 - Paper 3

Question icon

Question 18

Here-are-four-graphs-Edexcel-GCSE Maths-Question 18-2019-Paper 3.png

Here are four graphs. Graph A Graph B Graph C Graph D The graphs represent four different types of function $f(t)$. Match each description of the function in th... show full transcript

Worked Solution & Example Answer:Here are four graphs - Edexcel - GCSE Maths - Question 18 - 2019 - Paper 3

Step 1

Match $f(t)$ is inversely proportional to $x$

96%

114 rated

Answer

Graph D is a hyperbola, which indicates an inverse relationship. Therefore, f(t)f(t) is inversely proportional to xx.

Step 2

Match $f(t)$ is a trigonometrical function

99%

104 rated

Answer

Graph B exhibits oscillatory behavior typical of trigonometric functions, such as sine and cosine. Hence, f(t)f(t) is a trigonometrical function.

Step 3

Match $f(t)$ is an exponential function

96%

101 rated

Answer

Graph A shows a rapid increase which is characteristic of exponential functions. Therefore, f(t)f(t) is an exponential function.

Step 4

Match $f(t)$ is directly proportional to $ oot{2} x$

98%

120 rated

Answer

Graph C appears linear and shows a positive increase, consistent with directly proportional functions. Thus, f(t)f(t) is directly proportional to oot2x oot{2} x.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other GCSE Maths topics to explore

Number Toolkit

Maths - Edexcel

Prime Factors, HCF & LCM

Maths - Edexcel

Powers, Roots & Standard Form

Maths - Edexcel

Simple & Compound Interest, Growth & Decay

Maths - Edexcel

Fractions, Decimals & Percentages

Maths - Edexcel

Rounding, Estimation & Bounds

Maths - Edexcel

Surds

Maths - Edexcel

Algebraic Roots & Indices

Maths - Edexcel

Expanding Brackets

Maths - Edexcel

Factorising

Maths - Edexcel

Completing the Square

Maths - Edexcel

Algebraic Fractions

Maths - Edexcel

Rearranging Formulae

Maths - Edexcel

Algebraic Proof

Maths - Edexcel

Linear Equations

Maths - Edexcel

Solving Quadratic Equations

Maths - Edexcel

Simultaneous Equations

Maths - Edexcel

Iteration

Maths - Edexcel

Forming & Solving Equations

Maths - Edexcel

Functions

Maths - Edexcel

Coordinate Geometry

Maths - Edexcel

Estimating Gradients & Areas under Graphs

Maths - Edexcel

Real-Life Graphs

Maths - Edexcel

Transformations of Graphs

Maths - Edexcel

Sequences

Maths - Edexcel

Direct & Inverse Proportion

Maths - Edexcel

Standard & Compound Units

Maths - Edexcel

Exchange Rates & Best Buys

Maths - Edexcel

Geometry Toolkit

Maths - Edexcel

Angles in Polygons & Parallel Lines

Maths - Edexcel

Bearings, Scale Drawing, Constructions & Loci

Maths - Edexcel

Area & Perimeter

Maths - Edexcel

Right-Angled Triangles - Pythagoras & Trigonometry

Maths - Edexcel

Sine, Cosine Rule & Area of Triangles

Maths - Edexcel

Vectors

Maths - Edexcel

Transformations

Maths - Edexcel

Scatter Graphs & Correlation

Maths - Edexcel

Statistics

Maths - Edexcel

Ratio Analysis and Problem Solving

Maths - Edexcel

Inequalities

Maths - Edexcel

Volume, Area & Surface Area

Maths - Edexcel

The Circle

Maths - Edexcel

Probability

Maths - Edexcel

Trigonometry

Maths - Edexcel

Growth & Decay

Maths - Edexcel

Outliers

Maths - Edexcel

;