CAMBRIDGE IGCSETM AND O LEVEL ADDITIONAL MATHEMATICS:COURSEBOOKAnswersThe questions and example answers that appear in this resource were written by the author.In examination,the way marks would beawarded to answers like these may be different.Chapter 1Pre-requisite KnowledgeExercise 1.11141 one-one210-3x2 many-oneone-one34one-one5one-oneone-one7one-one8one-manyExercise 1.20.511,23,4,5,6and73g(x)≥2Exercise 1.319251367541567438Answers6 a hkb khExercise 1.4bx=-2x=-79x=cx=0.8,x=1.6dx=-23.x=2510x=2.5ex=-5.x=-211x=5fx=-0.5,x=7.512x=30rx=413 a fgb gf9x=16x=24hx=-5x=3号15 Domain:x∈R,x>20Range:fg(x)E R,fg(x)>-96bx=-0.8x=016 a xER,x#1cx=-5.6,x=4dx=0.75,x=3.517 a Domain:x∈R,xa0Range:fg(x)E R,fg(x)-6ex=6.53ax=-2,x=2bx=-3x=3cx=-3x=-1,x=2b i Domain:x∈R,xt0dx=0,x=4,x=6ex=-2x=1,x=39x=0.5x=1Rane:gfx)eR,gfx)≤-8h x=-1,x=2or gf(x)>0ii g(x)E R,g(x)>0b(0,0,(1,1(2,2)b gf(x)=(2x+2)c Domain:x∈eR,-15ii g(x)ER,g(x)>471 a Vshape,vertex at(-1,0).y-intercept Ib gf(x)=4x2-4x-1b V shape,vertex at(1.5,0),y-intercept 3c Domain:x ER,x>4c V shape,vertex at (5,0),y-intercept 5Range:gf(x)E R,gf(x)>47d V shape,vertex at(-6,0),y-intercept 321 a i f(x)ER,f(x)>5e V shape,vertex at (5,0).y-intercept 10f v shape,vertex at(18,0),y-intercept6bgfx)=9x2+12x+5c Domain:x∈R,x>2Range:gf(x)E R,gf(x)>65CAMBRIDGE IGCSETM AND O LEVEL ADDITIONAL MATHEMATICS:COURSEBOOK2024Exercise 1.6764351x)=Vx+7-56226a(x)=x+了-2bx=200243 a V shape,vertex at (0,1)bx=294b v shape,vertex at (0,-3)x-7bx=3.25d V shape,vertex at (3,1),y-intercept 4e V shape,vertex at(-3,-3),y-intercept 3b no solution10x=011x=-2.3.513f-g6 a v shape,vertex at (-2,0),y-intercept 4b straight line through (-5,0),(0,5)b g-(x)07 a Vshape,vertex at (3,-3).y-intercept 3bk=13cx=0.5.x=5.5c x17 a f-gb straight line through (-2.-4).(5.10)c gf-d f-lg-1cx=0.8x=4Exercise 1.709624-20246bx=-3.x=3440