Question 764610
{{{ y= x^2+1}}}

 the domain: all real numbers-no matter what you choose for {{{x}}} there will be unique corresponding value {{{y}}}

({{{-infinity}}},{{{infinity}}})


 the range:{ {{{y}}}|element {{{R}}} : {{{y>=1}}}  } - since we have parabola that opens up ({{{a>0}}}) and has {{{y-intercept}}} at {{{y=1}}}, means that vertex is at ({{{0}}},{{{1}}}) and it is a global {{{minimum}}}

[{{{1}}},{{{infinity}}})


{{{ graph( 600, 600, -10, 10, -10, 10, x^2+1) }}}