Cambridge International Mathematics

Introduction to functions (Chapter 19) 389 So, fwould convert 2 into 2(2)¡1=3 and ¡ 4 into 2(¡4)¡1=¡ 9 : f(x) is read as ‘fofx’. ...

LOW Kms 390 Introduction to functions (Chapter 19) EXERCISE 19C 1aIf f(x)=3x¡ 7 , find and interpret f(5). b If g:x 7 !x¡x^2 , f ...

Introduction to functions (Chapter 19) 391 Discovery 1 Fluid filling functions #endboxedheading When water is added to a contain ...

392 Introduction to functions (Chapter 19) We write g(f(2)) = 7: Similarly, f(g(2)) is obtained by applyinggfirst, then applying ...

Introduction to functions (Chapter 19) 393 EXERCISE 19D 1 If f(x)=x^2 +1and g(x)=2x¡ 3 find: a f(3) b g(3) c f(g(3)) d g(f(3)) e ...

394 Introduction to functions (Chapter 19) The hyperbolic shape is also noticed in the home when a lamp is close to a wall. The ...

Introduction to functions (Chapter 19) 395 EXERCISE 19E 1 Consider the function y= 5 x , which can be written as xy=5: a Explain ...

396 Introduction to functions (Chapter 19) 2 Draw the graph of y= ( x if x> 0 ¡x if x< 0 using the results of 1. 3 Conside ...

Introduction to functions (Chapter 19) 397 EXERCISE 19F.1 1 Write down the values of: a j 7 j b j¡ 7 j c j 0 : 93 j d ̄ ̄¡ 21 4 ...

398 Introduction to functions (Chapter 19) THE GRAPH OF y=jax+bj One way of graphing y=jax+bj is to first graph y=ax+b. Whatever ...

Introduction to functions (Chapter 19) 399 2aIf f(x)=5x+2, find and interpret f(¡3): b Given f:x 7! 4 ¡x^2 , find: i f(2) ii f(¡ ...

400 Introduction to functions (Chapter 19) 2 For the following graphs, determine: i the range and domain ii whether it is the gr ...

Transformation geometry 20 Contents: A Translations [5.4] B Rotations [5.4, 5.6] C Reflections [5.4, 5.6] D Enlargements and red ...

402 Transformation geometry (Chapter 20) Many trees, plants, flowers, animals and insects aresymmetricalin some way. Such symmet ...

Transformation geometry (Chapter 20) 403 If P(x,y) istranslatedhunits in thex-direction andkunits in they-direction to become P^ ...

404 Transformation geometry (Chapter 20) EXERCISE 20A 1 Find the image point when: a (2,¡1) is translated through ¡ 3 4 ¢ b (5,2 ...

Transformation geometry (Chapter 20) 405 Example 3 Self Tutor Find the image of the point(3,1)under a rotation about O(0,0)which ...

yx= yx=- y x ()-1 -3, ()-3 ¡1, ()1 ¡3, ()3 ¡1, ()3 -1, OO P P' mirror line M DEMO 406 Transformation geometry (Chapter 20) EXERC ...

O y x ()0 ¡2, ()2 ¡2, ()3 ¡0, ()-1 ¡0, object image yx¡=¡2 ¡+¡2 x¡=¡1 mirror O y 24 x (^2) T Transformation geometry (Chapter 20 ...

408 Transformation geometry (Chapter 20) 7 Construct a set of coordinate axes withxandyranging from¡ 5 to 5. a Draw the lines y= ...