Question 260853
Plot points and then sketch the graph. 
x=0 is a discontinuity so values near 0 go to infinity.
{{{ x=1/2}}}, {{{y=5/2 }}}
{{{x=1}}}, {{{y=5/4}}}
{{{x=2}}}, {{{y=5/8}}}
{{{x=3}}}, {{{y=5/12}}}
Values are mirrored on the negative side,
{{{x=-1/2}}}, {{{y=-5/2}}}
{{{x=-1}}}, {{{y=-5/4}}}
{{{x=-2}}},{{{ y=-5/8}}}
{{{x=-3}}}, {{{y=-5/12}}}
Plot the points. 
Then sketch the graph. 
{{{drawing( 300, 300, -5, 5, -5, 5,grid( 1 ),
circle( 1/2, 5/2, .2 ),
circle( 1, 5/4, .2 ),
circle( 2, 5/8, .2 ),
circle( 3, 5/12, .2 ),
circle( -1/2, -5/2, .2 ),
circle( -1, -5/4, .2 ),
circle( -2, -5/8, .2 ),
circle( -3, -5/12, .2 ), graph( 300, 300, -5, 5, -5, 5, 5/(4x))) }}}