#1) Domain x!=2, Range y!=0
plot(1/(x-2),xmin=1.9,xmax=2.1,ymin=-100,ymax=100)
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#2) Domain x>=-1, Range y>=0
plot([sqrt(1+x),-sqrt(1+x)],-1,20,aspect_ratio=1)
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#3) Domain -1<=x<=1, Range 0<=y<=1
plot([-sqrt(1-x^2),sqrt(1-x^2)],aspect_ratio=1)
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#4) cardinality of the Domain = 900
#4) cardinality of the Range = 27
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#5)
def h(n):
return n*n+1
show(h(1))
show(h(2))
show(h(3))
show(h(4))
show(h(5))
show(h(6))
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#8)
plot(x/sqrt(1-x^2))
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#9) f(g(1)) = f(0) = 1
#9) g(f(1)) = g(-1) = -2
f(x)=-2*x+1
g(x)=1*x-1
show(f(g(1)))
show(g(f(1)))
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