The modulus function a level maths. 1) In this video I explain the concept of Modu...

The modulus function a level maths. 1) In this video I explain the concept of Modulus functions and how to sketch Modulus graphs where the Modulus is outside the function. For the full list of videos and more revision resources visit www. 2025 Exam Edexcel #mathstutor #mathskills #alevelmaths #alevels2026 #mathsstudent mathswithdan 194 Day 93: Linear Modelling and Simultaneous Equations | 100 Days Until Paper 1 #mathswithdan #alevelmaths #fyp #alevels #edexcel dandoesmaths 430 A Level Maths revision tutorial video. Find these roots. Show complete working. Understanding these concepts is essential for developing problem-solving skills and mastering the manipulation of absolute values, which are foundational in various mathematical and real-world In this maths video I'll be introducing you to the modulus function :) Timestamps: 0:00 Intro 0:08 What is the modulus function? 0:48 Examples of how it works 1:44 Modulus graphs introduction For This Maths Factsheet will explain: • What the modulus function is. B. com/y2modulusSuitable for all exam boards (AQA, Edexcel, OCR, MEI) Mar 6, 2019 · This resource for the new A-Level Maths 2017 Spec is for modulus functions This involves sketching graphs of y = |f (x)| and y = f (|x|) and involving trickier graphs like sin and cos and ln Students are also asked to solve equations involving modulus functions as can be seen in the preview there are around 15 questions in total involving both sections Perfect for students looking to revise MODULUS FUNCTION PRACTICE MODULUS EQUATIONS 2 x + 1 = 9 3 − x = 6 3 4 x − 3 − 1 = 14 The Modulus Function Exam Questions (From OCR 4723) Q1 (Jun 2007, Q2) To be used by all students preparing for Edexcel A Level Mathematics - Students of other Topic: Modulus Functions Instructions Answer all questions. This video forms part of the Modulus Function unit:http://parkermaths. Sketching ALL THE MODULUS FUNCTIONS You Need To Know | A Level Maths NeilDoesMaths 66. ly/2ofdTQQ created by Lewis Croney, Mathmore Since the modulus function always produces a positive output, the graph of a modulus function will always be above the x-axis. In the next video we are going to take a look at Mappings and Functions. Everything you need to know about Modulus for the A Level Mathematics AQA exam, totally free, with assessment questions, text & videos. Pure Year 2, Chapter 2: Functions and Graphs. It is also called the absolute value function. A Level Maths Exam Questions By Topic Although the following questions are predominantly from the OCR, OCR MEI and Edexcel exam boards, they are suitable practice for all UK A Level Maths qualifications unless otherwise stated. Where the original function (x-1)2 – 16 takes a positive value, the graphs of the two functions coincide. 1 The Modulus function of the Edexcel A Level Pure Mathematics Year 2 Course. co. Reviews Casio fx-991EX, fx-991CW, TI-84 Plus CE, and fx-CG50 with exam board policies for Edexcel, AQA, and OCR. Jul 5, 2025 · Revision notes on Sketching Graphs of Modulus Functions for the Cambridge (CIE) A Level Maths syllabus, written by the Maths experts at Save My Exams. This revision note covers the key strategies and worked examples. It is best to first sketch the functions within your equation so that you can figure out graphically where the solutions are located, and then use your knowledge of modulus functions to completely solve the equation. These functions cannot be used with complex numbers; use the functions of the same name from the cmath module if you require support for complex numbers. The Modulus Function The modulus function is written as and it is defined as . Sketch the graph of y = | g(x) | . Understanding modulus functions is essential for tackling various problems in higher mathematics, particularly in preparation for exams. The graph of is like the graph of except that every point below the x-axis folds upwards to produce a V-shaped graph. Students need to know how to solve modulus equations and how to sketch modulus graphs of the form y = |f (x)|, where f (x) is a linear function. Then reflect any parts that are below the x-axis using the x-axis as the mirror line. The Modulus Function revision and practice questions. Additionally, students should understand simple transformations of graphs. Click for A Level Maths revision notes. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. • How to draw modulus graphs. Edexcel A Level Maths. Jun 19, 2025 · Learn how to solve modulus equations for your A level maths exam. |x | = 4 , the N. Feb 28, 2026 · Modulus functions A level Maths questions form a crucial part of advanced mathematics study. Find the exact values of x for which Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Algebra and Functions Past paper questions for the Modulus Functions topic of A-Level Edexcel Maths. solved 3,181 Home > A-Level Maths > Teaching Order Year 2 > 216: Modulus Functions 7. The modulus or absolute value of a number is also considered as the distance of the number from the origin or zero. This revision note covers the key concepts and worked examples. The Modulus Function. Show on each sketch the coordinates of each point at which the graph meets or cuts the axes. Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the Cambridge (CIE) A Level Maths syllabus, written by the Maths experts at Save My Exams. With inequalities, when multiplying or dividing by a negative number, the inequality symbol changes direction. This session covers modulus functions, graphs of |f (x)|, symmetry in definite integrals, continuity and differentiability concepts, and area under curve — all in one powerful lecture. The Modulus Function, |x| Topic: Modulus Function and Graphs Chapter Reference: Pure 2, Chapter 2 minutes The diagram shows the curve y = f(x). In mathematics, the modulus of a real number x is given by the modulus function, denoted by |x|. Let’s look at a few examples of how to sketch a modulus function. to/39umfr5 and https: //amzn. [4] Struggling with A - Level Maths? Join our community for FREE here: https://www. (4) (f) State the domain of the inverse function g −1 . uk. Pearson A level Maths, Pure Year 2 Textbook (2. 🔥 Full Edexcel A Level Maths Ye The modulus function is a very popular topic for questions in A-level maths exams, so it’s important that students are comfortable with what this involves and have an understanding of what they may be asked to do in a paper. Solving modulus equations You can also be expected to be able to solve equations involving modulus and non-modulus functions. mathsgenie. Some A-Level maths questions look easy… until you actually start solving them. The Modulus Function in a Snap! Unlock the full A-level Maths course at http://bit. You can also write , because the quadratic power will make any negative positive and then you take the surd and the function becomes the original function. Sketching Graph of Modulus Function f (x) = ||x|-5| JEE Maths । Learn Class 11 Class 12 JEE Main and Advance Maths by Er. • How to use graphs to solve modulus inequalities. Master modulus equations and inequalities with comprehensive explanations, examples, and practice problems tailored for AS & A Level Mathematics. (d) Some candidates drew themselves a new sketch and identified the required solution with apparent ease. When we take the modulus of this function, all positive values of y remain unchanged, but negative values are multiplied by –1. There are a mixture of questions from OCR A Questions and model answers on Modulus Functions for the Cambridge (CIE) A Level Maths: Pure 3 syllabus, written by the Maths experts at Save My Exams. The modulus is a fundamental topic in A-Level Mathematics, particularly within Pure Mathematics. Modulus Functions - Solving Equations Modulus graphs and equations Two non-parallel straight-line graphs would intersect once If modulus involved there could be more than one intersection Deducing where these intersections are is crucial to solving equations Maths Genie - AS and A Level Maths revision page including revision videos, exam questions and model solutions. Nov 22, 2025 · Everything you need to know about A-Level Maths Pure 3 Modulus Function in 25 minutes Ginger Mathematician 74. The modulus function When sketching the graph of y f( x ) , start by sketching the graph of y f( x ) , and then reflect any negative parts of the graph in the x-axis. Find the inverse function f –1(x), stating its domain. How do I sketch the graph of the modulus function: y = a | x + p| + q? The graph will look like a “ ” if a > 0 or a “ ” if a < 0 There will be a vertex at the point (-p, q) There could be 0, 1 or 2 roots This depends on the location of the vertex and the orientation of the graph ( Cheat sheets, worksheets, questions by topic and model solutions for OCR (MEI) Maths AS and A-level Algebra and Functions Maths Genie - AS and A Level Maths revision page including revision videos, exam questions and model solutions. The graph meets the coordinate axes at B(0,3)and D(4,0)and has stationary points at A(−2,1)and C(2,5). It elucidates the definition and Graphs of the modulus function are just a straight-line graph that has been reflected for negative output values. Everything you need to know about The Modulus Function for the A Level Mathematics B (MEI) OCR exam, totally free, with assessment questions, text & videos. 1 day ago · math — Mathematical functions ¶ This module provides access to common mathematical functions and constants, including those defined by the C standard. Here is an interactive graph which shows the relationship between the graph of a line and the graph of the modulus of that line. Pearson (Edexcel) A level Maths, Pure Year 2 Textbook (2. Timestamps:00:00 Modulus Basics01:27 Modulus Graphs05:11 Solving Mo Modulus Function A modulus function gives the magnitude of a number irrespective of its sign. 4 days ago · A-level Maths - Solving modulus functions#erc#myedspace#alevelmaths#alevel Silvia Gius and 3 others 󰍸 4 󰤦 Last viewed on: Mar 19, 2026 On Day 80 of our 100 Days Until Paper 1 series, we focus on a crucial aspect of A-Level Maths: finding the range of a modulus function. A level pure maths year 2 video lesson answering questions on the topic of The modulus function. 🧠 If you’re revising Pure Maths, this is the kind of problem that separates memorising formulas from actually understanding the maths. This problem combines modulus functions, parabola geometry, and definite integration concepts, making it a tricky and high-level JEE Main mathematics question. Think you’ve got it? In this video from Vertex Math Academy, we solve a real JEE Main January 2026 shift question involving area of region in the first quadrant bounded by y^2 = x and a modulus function. In this maths video I'll be showing you how to sketch modulus functions :) My video on the modulus function: • Introduction to the Modulus Function | A-L Modulus functions and their associated equations and inequalities play a crucial role in algebra, particularly within the curriculum of 'Pure Mathematics 2' for the AS & A Level Mathematics - 9709 board. When working with modulus functions, understanding their behavior and properties is essential for success in A Level Maths Year 2. . Subscribe Subscribed Like 67K views 8 years ago A-Level Maths B7: Graphs & Proportion A Level Mathematics Year 2 Exam Questions by Topic Chapter 4: The modulus function These questions are taken from the Specimen Exam materials and the real 2018 papers for the new syllabus AS and A-level mathematics courses and arranged by chapter of the textbooks by Goldie et al (available here: https://amzn. Find the exact value of fg(4). It gives the non-negative value of x. To sketch the graph of a modulus function, sketch the graph like you normally would. Nov 7, 2022 · Combined graph transformations and modulus function (new A level maths) These resources cover all the expected knowledge and skills for both topics in the A2 part of the new A level. The two graphs show this clearly. 168K subscribers Subscribed Like 4. Mar 23, 2017 · A level Maths: C2: Modulus Function worksheets Subject: Mathematics Age range: 16+ Resource type: Worksheet/Activity Confused between One-One, Onto functions and Functional Equations? This session will teach you how to solve functional rule problems, injective/surjective concepts, and differentiability In this video we take a look at the Modulus Function. 1) In this video I explain how to solve modulus equations with reference to a graph. MME gives you access to maths practice questions, worksheets and videos. com/quick-maths-6968/about?ref=e1a42af31fe043fdb05b0f80d8e4b0df It is therefore below the x–axis for –3 < x < 5. Use modulus func-tions and their properties wherever appropriate. Jun 27, 2025 · Learn about sketching the graphs of modulus functions for your A level maths exam. Please see the individual resources for more details about their content. The domain of the curve intersects the coordinate aces at the points (-3, 0) and (0, -1). 4K views 5 years ago AQA A-Level Further Maths D10: Modulus of Functions This was generally well done, although some candidates made heavy weather of substituting the x values into the modulus function, some clearly seeing the modulus bracket as a substitute notation for +/-. Modulus function graphs are confusing, how did you find this one? Question of the day - 27/02/2026 Past paper: AQA - Paper 3 (2023) [Q1] #questionoftheday #alevelmaths #maths #modulus #studygram myedspace_maths 418 A-level Further Maths - Modulus argument form - complex numbers #myedspace #myedspacemaths #furthermaths #alevels #nickdoesmaths Mar 16, 2026 · Best calculators for A-Level Maths 2026. A Level Maths. Modulus equations Exam Questions - Modulus equations Modulus inequalities Exam Questions - Modulus inequalities Probability Density Functions and Cumulative Distribution Functions Applications of Integration – Surface area of revolution Applications of Integration – Area bound by a curve Pearson (Edexcel) A level Maths, Pure Year 2 Textbook (2. In mathematics, modular arithmetic is a system of arithmetic operations for integers, differing from the usual ones in that numbers "wrap around" when reaching or exceeding a certain value, called the modulus. This one is all about circles, centres, and thinking a few steps ahead. This comprehensive guide delves into the concept of modulus, its graphical representations, and techniques for solving modulus equations and inequalities. 2K subscribers Subscribe Lesson 2. The Modulus Function revision and practice questions. 1) In this video I explain the concept of solving modulus inequalities and how to write the solution in set notation. The modulus function has a many:1 mapping, and therefore there is no inverse function. In A Level Math [P3] - Modulus Functions [Part 1/2] Sir Shazy (Mathematics) • 140 views • 4 months ago AL Edexcel Jun 2019 paper 1 pure q12 modulus functions (Maths A Level) Fred and Amy's maths shack • 32 views • 8 months ago Solving modulus equations and inequalities involving one function of x The function y = |x | is made up of y = x and y = − x so to solve the equation two equations x = 4 and −x = 4 are solved. Consider subscribing if you found the video helpful :)#alevel #math #al Preparing for your Cambridge International A Level Maths exam? This page is packed with past paper questions on modulus functions to help you master the topic. By sketching the graphs of y = ǀ2x + 1ǀ and y = −x on the same axes, show that the equation ǀ 2x + 1ǀ = −x has two roots. 🔔 Subscribe & turn on notifications to conquer your academic goals! 📣 Post your questions on here - / lungang Sign up to my course here👇 https://shop The topic centers around the concept of modulus in mathematics, specifically within the A-level pure mathematics curriculum. skool. Concept clarity is key 💡 Daily Maths Practice with @MathsNotes0 #Derivatives #MathsDaily #Calculus #Class12 #JEE myedspace_maths 1,139 Increasing/decreasing functions | A-level Maths - Y12 #Myedspace #guydoesmaths #erc jee. • How to solve modulus equations. Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the AQA A Level Maths syllabus, written by the Maths experts at Save My Exams. 4K subscribers Subscribe The figure above shows part of the graph of the curve with equation y f x=( ). Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the OCR A Level Maths A syllabus, written by the Maths experts at Save My Exams. Oct 11, 2020 · The Modulus Function Looking at the Subject content for A Level Mathematics we see that students are expected to be able to understand and use graphs of functions including the modulus of a linear function. 2025 Exam Edexcel #mathstutor #mathskills #alevelmaths #alevels2026 #mathsstudent mathswithdan 194 Day 93: Linear Modelling and Simultaneous Equations | 100 Days Until Paper 1 #mathswithdan #alevelmaths #fyp #alevels #edexcel dandoesmaths 430 Edexcel A level Mathematics Functions Section 3: The modulus function Crucial points Check that you have the right number of solutions Be careful when solving equations involving a modulus function that you have the correct number of solutions. Modulus Graphs. Sketch on separate diagrams the graph of … This was generally well done, although some candidates made heavy weather of substituting the x values into the modulus function, some clearly seeing the modulus bracket as a substitute notation for +/-. Follow me on Twitter and Instagram: Twitter Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the Edexcel International A Level (IAL) Maths syllabus, written by the Maths experts at Save My Exams. to/3hE8kBL ). 167K subscribers Subscribed Like 59K views 5 years ago TEACHING A-Level Maths [AQA, Edexcel, OCR, OCR MEI] (1,11) (1) − Here we have taken the graph from part d but made the negative section positive since we are taking the modulus of the function Jan 26, 2021 · A function is defined as a rule which assigns each element of set X, one and only one element of set Y. Indicate clearly the equation of the vertical asymptote and the coordinates of the point at which the graph crosses the y-axis. While it’s vital they know how to deal with modulus functions algebraically, a calculator is a great way to help students understand the topic, as they can actually Modulus Functions Related Topics: More Lessons for A Level Maths Math Worksheets A collection of videos, activities and worksheets that are suitable for A Level Maths. Maths revision video and notes on the topic of modulus functions, graphs and solving modulus equations. yomxq yipvhr whghqzxl pdodie xaox alog lgxz xpujv fzd qszk