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The diagram below shows the graph of y equals straight f le 2 . To find the answer for this we can make an equation: A* A B C D E >88% 76% 63% 51% 40% 30% 987 6 543 >94% 85% 77% 67% 57% 47% 35% Level IGCSE Subject Maths (0580/0980) Exam Board CIE Topic Algebra and graphs Sub‐Topic Functions Questions and model answers on Functions for the AQA A Level Maths: Pure syllabus, written by the Maths experts at Save My Exams. Find the values of p and q. A wave tank is used to simulate the sea at high tide. (i) Express f (x) in the form (x + a)2 + b + k, where a and b are constants. x function is represented by the following function machine. Aligned to your syllabus and designed for exam success, our study Questions and model answers on Transformations of Functions for the Cambridge (CIE) A Level Maths: Pure 1 syllabus, written by the Maths experts at Save My Exams. (a) Find . A number is input into the machine. The second output is 11. 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Introduction to Functions / Domain & Range / Composite Functions / Inverse Functions Total Marks /167 The graph of the function f (x) = a|x + p | + q is shown below, where a, p , q ∈R. IB Maths AI SL exam revision with questions, model answers & video solutions for Linear Functions & Graphs. Save My Exams is an online revision platform that helps IGCSE, GCSE, A Level, IB and AP students prepare for their exams. The graph has a local maximum at the point A(3, 5) and intersects the y-axis at (0,-7). Use this handy index to quickly find the resources you Our extensive range of teacher-written IGCSE maths revision resources give you all the tools you need to approach your maths exams with confidence, helping you Find the exact value of fg(4). 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Introduction to Functions / Domain & Range / Composite Functions / Inverse Functions Total Marks /167 10 (a) A 3 D. co. What is a function? What is function notation? Sometimes functions don’t have names like f and are just written as y = How does a function work? What is a mapping diagram? A function is defined as . Our extensive range of teacher-written IGCSE maths revision resources give you all the tools you need to approach your maths exams with Find the exact value of fg(4). Questions and model answers on Linear Functions & Graphs for the DP IB Applications & Interpretation (AI): SL syllabus, written by the Maths experts at All the course specific revision resources you need to ace your A Level Maths exams. (b) Sketch the graph of y = stating the coordinates of any intersections with the coordinate axes. Answer: The input is , so substitute 7 into the expression everywhere you see an Learn about functions and how to use them for your IGCSE maths exam. 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Discover revision notes, exam questions, past papers, flashcards and A function is a combination of one or more mathematical operations that takes a set of numbers and changes them into another set of numbers It may be thought of as a mathematical “machine” For An inverse function does the exact opposite of the function it came from For example, if the function “doubles the number and adds 1” then its inverse is “subtract 1 and halve the result” It is the inverse An inverse function does the exact opposite of the function it came from For example, if the function “doubles the number and adds 1” then its inverse is “subtract 1 and halve the result” It is the inverse The domain of an inverse function is the range of the original function, therefore [1] Write down the domain and range of the function f ( x ) . Questions and model answers on Functions for the AQA GCSE Maths: Foundation syllabus, written by the Maths experts at Save My Exams. 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