! " # 2 * ( x + 3) y= 2 x + 6x + 9 2 Consider this equation 2 * ( x + 3) y= 2 x + 6x + 9 2 This looks like a fairly complicated function of x 2 * ( x + 3) 2 * ( x + 6 x + 9) y= 2 = =2 2 x + 6x + 9 ( x + 6 x + 9) 2 2 If you expand it, it simplifies dramatically $ 2 * ( x + 3) y= 2 x + 6x + 9 2 Let x equal -3 2 * (−3 + 3) 2 0 y= = 2 * = undefined 9 − 18 + 9 0 When x is equal to -3, the equation is undefined % & ' ! ' ( (# ! ' ) # & * ! ! ++', ./01 23 /24 03 & 5 #$% & * " 3 / 6 ++ ' ( %)* ! ++) )* ) +' ( % ++ # , - - . / ( % %0 1 , 2 ++ ++ , / 7 , -3 4 5 8 ++ -5 , , %0 3 ' 2 , 5 9 : ; ,0 , /23 4 <3 3 # - 5 05 , =3 4><3 />6 25 75 ?) ,75/23 4 <3753 # - 5 43 '5 ' && 5 '5 '5 5 ) ' ) ' .& ( ; ' >>expand((x-2)*(x-4)) ans= x^2-6*x+8 >>expand(cos(x+y)) ans= cos(x)*cos(y)-sin(x)*sin(y) >>factor( - 53 - 5@ - 53 , -4 5 - 55 ! "# $ # # # # # $ # ! # "! % % # # % % % % $ ,1 " ""# # & " $ % " $ % % % " $ % % " $ $ " & " # ! "# $ ' ( # # ') % % % # % * # #! # "# ' % * + , ( 3 6 73 5 6 6 1 # A ' 6 18 18 19 ' ) # ++ #>,B@0,CB ++ - #>5 , D ++ #2,B/2@ @E,AB ++ - #25 , 0 @2 ++ #>,B/24 /2,>B ++ #2,B4 ,>B ++ F , > A , A > G , - #> #25 73 5 ++ F , > A , A > G , 6 B/24 /2,>BB4 ,>B 5 :/ 5 ; * 7 ' F 5 @2π G 5 42π Notice that ezplot creates a title and axis labels automatically Add your own titles, axis labels and other annotations using the same functions ++ ++ , <3 5 ++ -5? , <3 <3 5 ++ , -5 3 -5 ++ -5 , -5 3 -5 @ -5 3 : ++ - 25 , @23 - 5 3 -5 ++ - -5 5 , @23 - 5 3 -5 -5 < ) 3 35/ 5 5 + 5 5 - 5 @ ? * , @>AH>H >A ? > , - - 56 5/2 ? I ? 2 , 03 - - 5 5 2 > >5 ? * - > 25 ? K 2 > 25 ? K - > 25 I # > 2 J> = 5 0 5 ? $ , @0H2H 0 , >AAA >5 ? L - 5 L 5 / 5.5 0 " ! " # ! # $ $
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