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Functions of a real variable and drawing curves () ( ) - - . () ( ) . : . . . ( .(one - to - one . ( - - ). . ( - - - () = . :( ! C) () ! C . ( C) C() . . :C| + | = | C + | = | E + |C| + | = + E :C| + | < | C + | > C| + | H , | C + | G . . " "geogebra 2 - - 8. ( - ) : . ( - ) : . ( - ) : . ( - ) : . ( - ) : . - (Graph, GeoGebra) Function one-to-one function Increasing function Modulus function Even function Decreasing function Quadratic function Odd function Constant function Cubic function polynomial function Rational function Range Transformation Domain Co-domain Monotony of a function - 3 9. 1( )!* & F+ ,' - . / 012 345 Function Domain Codomain range arrow diagram ! FM$ Cartesian diagram % FM$ vertical line & F' 10. dG GhdGReal Function N M M NN M 11. : : N # MN M 12. () = M N M = { } N = { } { } : ! MNN M&'# "#$% .SCGdG dG QNG .!()* ! +,' !CG cJ-./0 1 23. 4.5 6784.5 2- .9 ;< 13. '>?@ 1 23. 4.4 - - 14. G GhdG1 Identify the relations representing the function dGO dG bdG j1 . ! 2A 2A 2A 2A ! 2A 2A ( ) .2A ! .2A . 1 . . {( ) ( ) (- ) ( )} . Identifying the domain of the function algebraically jvL dGdG J2 : + ) ) (= - (= - () = - = - = = ! -} - }.I () ! G G - [ [. - > -] - I ( ) ]- - [ ]- [ ] - 5 15. 2 :- + () = - () = - + Function defined by more than one rule IYb e cCH adG dGdG - - H < 3 () = H H .() = - [- [ () = [ ]:@% BC(- ) = - (- ) = ( ) = ( ) = :; % DE 16. 4. = [- ]1 = ] ] - - H < 3 () = + G .4 : H H + < HCGE(! !(() = + < H , : ( ) ( ) ( )CG MF F 6H@ I 2J K%.'L 2M K5NG , CP = 4. N E , H@P = 1 : G SQh G GhdG6 - - 17. ( ) () = ( ) = * R - < F',L.3 (-) =GhdG UGN H21 ; (-) = () .- < > 2 - < () = : G SQh G GhdG - G < () =5 :( ! ! ! ( ( ! ! ( 2A! 2A 2A 2Ah[ : ( ) ( ) ..'[%.V : ( ) ( ) . .6 . () = + () = - + () = + () = - - () = + + 7 : : ( - ) ( ) ( ) . ( ) (- ) (- ) .16 - - 35. 3 ; IC ( ; G H 4 IU KLM ; 1D monotony IC increasing function ==@D E. FD decreasing functionconstant function , 8 GhdG UGN HJProperties of functions (continve)Monotony of the functions :GhdG OGWEG :khCG I ? . G C H@ E 4 i4.< :