Question 46855
1.) y = x - 1
Range: all reals
Domain: all reals
{{{graph(600,600,-10,10,-10,10,x-1)}}}
2.) y = 1/x
Range: {{{y > 0}}}and {{{y < 0}}}
Domain: {{{x > 0}}} and {{{x < 0}}}
{{{graph(600,600,-10,10,-10,10,1/x)}}}
3.) y = 1/(x^2 + 1)
Range: {{{0 < y <= 1}}}
Domain: all reals
{{{graph(600,600,-10,10,-10,10,1/(x^2+1))}}}
4.) y = 1/squareroot of x^2 + x + 1
x^2 + x + 1 = 0
v(-1/2,3/4)
Range: {{{0 < y <= 2*sqrt(3)/3}}}
Domain: all reals
{{{graph(600,600,-20,20,-10,10,1/sqrt(x^2+x+1))}}}