Question 674461
{{{x^2-4y^2=1}}}


{{{graph( 600, 600, -5, 5, -5, 5, x^2-4y^2>=1 )}}}



so, your equation is {{{hyperbola}}}

the "basic" hyperbola {{{y=1/x}}} {{{is}}} the function, but not all hyperbolas are functions: 



{{{ graph( 600, 600, -5, 5, -5, 5, 1/x) }}} 


the ones that are {{{NOT}}} functions are in the form of {{{x^2/a^2 - y^2/b^2 = 1}}}; whenever {{{y}}} is {{{squared}}}, you do {{{not}}}{{{ have}}} a {{{functions}}}

so, your hyperbola is {{{not}}} a {{{function}}}