Постройте множества точек координаты которых удовлетворяют уравнениям:
1. [tex] |y| = 1 - |x| [/tex]
2. [tex]2 | y+ 1| = x + 1[/tex]
3. [tex](y - 1) |x| = \frac{ |y| }{y} [/tex]
1. [tex] |y| = 1 - |x| [/tex]
2. [tex]2 | y+ 1| = x + 1[/tex]
3. [tex](y - 1) |x| = \frac{ |y| }{y} [/tex]
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Answers & Comments
1)
a)x≥0;y≥0; y=1-x
b)x≥0;y≤0; -y=1-x; y=x-1
c)x<0;y>0; y=1-(-x)=1+x
d)x<0;y<0; -y=1-(-x); -y=1+x; y=-1-x
2)
a)y+1≥0; y≥-1; 2(y+1)=x+1; 2y=x+1-2; y=(x-1)/2
b)y+1<0; y<-1; 2*(-(y+1))=x+1; -2y-2=x+1; y=(x+3)/(-2); y=-1.5-x/2