By Roger Porkess

The highly-acclaimed MEI sequence of textual content books, aiding OCR's MEI established arithmetic specification, has been up-to-date to check the necessities of the recent requirements, for first instructing in 2004.

**Read Online or Download A2 Pure Mathematics (C3 and C4) PDF**

**Similar schools & teaching books**

**Asian Americans in Class: Charting the Achievement Gap Among Korean American Youth**

This publication demanding situations the "model minority" stereotype of Asian American scholars as a severe step towards instructing all youngsters good. concentrating on Korean American formative years in ny urban faculties, Jamie Lew compares high-achieving scholars attending an elite magnet highschool with scholars who've dropped out of a local highschool.

The typical ecu Framework of Reference for Languages (CEFR) has develop into the yardstick for educating and trying out language talents in Europe and in different places. but little is understood in regards to the relationships among the communicative degrees confirmed utilizing the can-do statements of the CEFR and the developmental phases of grammatical and lexical improvement defined via moment Language Acquisition (SLA) examine.

**Education, Social Structure and Development: A Comparative Analysis**

Ebook via Williamson, invoice

- School choice : how parents negotiate the new school market in Australia
- Theorems in School: From History, Epistemology and Cognition to Classroom Practice (New Directions in Mathematics and Science Education)
- Bringing Learning to Life: A Reggio Approach to Early Childhood Education
- Teaching at Work

**Extra info for A2 Pure Mathematics (C3 and C4)**

**Example text**

Make a conjecture about the relationship between the graph of a function and its inverse. You have probably realised by now that the graph of the inverse function is the same shape as that of the function, but reflected in the line y = x. To see why this is so, think of a function f(x) mapping a on to b; (a, b) is clearly a point on the graph of f(x). The inverse function f –1(x), maps b on to a and so (b, a) is a point on the graph of f –1(x). The point (b, a) is the reflection of the point (a, b) in the line y = x.

It could be a translation, a one-way stretch or a reflection. In each case, write down the equation of the image (dashed) in terms of f(x). (ii) (iii) (iv) (v) (vi) C3 3 Exercise 3C (i) 8 The sketch shows the curve with equation y = 2 – 6x – 3x 2 and its axis of symmetry x = –1. y Not to scale O x x = –1 (i) (ii) (iii) (iv) Give the co-ordinates of the vertex and the value of y when x = 0. Find the values of the constants a, b such that 2 – 6x – 3x 2 = a(x + 1)2 + b. Copy the sketch and draw in the reflection of the curve with equation y = 2 – 6x – 3x 2 in the line y = 2.

To see why this is so, think of a function f(x) mapping a on to b; (a, b) is clearly a point on the graph of f(x). The inverse function f –1(x), maps b on to a and so (b, a) is a point on the graph of f –1(x). The point (b, a) is the reflection of the point (a, b) in the line y = x. 20. This result can be used to obtain a sketch of the inverse function without having to find its equation, provided that the sketch of the original function uses the same scale on both axes. 20 Finding the algebraic form of the inverse function To find the algebraic form of the inverse of a function f(x), you should start by changing notation and writing it in the form y = … .