Question 318934
Pick x values, calculate y values, plot (x,y) pairs.
{{{ x=0}}}, {{{y=-3/(4(0)-2)=3/2}}}
{{{ x=1/2}}} , {{{y=-3/0}}}<---undefined.
{{{ x=1}}} ,{{{y=-3/(4(1)-2)=-3/2}}}
{{{ x=2}}} ,{{{y=-3/(4(2)-2)=-1/2}}}
{{{ x=3}}} ,{{{y=-3/(4(3)-2)=-3/10}}}
{{{ x=-1}}} ,{{{y=-3/(-4-2)=1/2}}}
{{{ x=-2}}} ,{{{y=-3/(-8-2)=3/10}}}
{{{ x=-3}}} ,{{{y=-3/(-14)=3/14}}}
.
.
.
Plot the points.
.
.
.
{{{drawing(300,300,-5,5,-5,5,grid(1),
circle(-3,3/14,.2),
circle(-2,3/10,.2),
circle(-1,1/2,.2),
circle(0,3/2,.2),
circle(1,-3/2,.2),
circle(2,-1/2,.2),
circle(3,-3/10,.2),
graph(300,300,-5,5,-5,5,0))}}}
.
.
.
Connect them with straight lines,
.
.
.
{{{drawing(300,300,-5,5,-5,5,grid(1),
circle(-3,3/14,.2),
circle(-2,3/10,.2),
circle(-1,1/2,.2),
circle(0,3/2,.2),
circle(1,-3/2,.2),
circle(2,-1/2,.2),
circle(3,-3/10,.2),
line(-3,3/14,-2,3/10),
line(-2,3/10,-1,1/2),
line(-1,1/2,0,3/2),
line(1,-3/2,2,-1/2),
line(2,-1/2,3,-3/10),
graph(300,300,-5,5,-5,5,0))}}}
.
.
.
The more points you plot, the smoother the curve.
.
.
.
{{{drawing(300,300,-5,5,-5,5,grid(1),
circle(-3,3/14,.2),
circle(-2,3/10,.2),
circle(-1,1/2,.2),
circle(0,3/2,.2),
circle(1,-3/2,.2),
circle(2,-1/2,.2),
circle(3,-3/10,.2),
line(-3,3/14,-2,3/10),
line(-2,3/10,-1,1/2),
line(-1,1/2,0,3/2),
line(1,-3/2,2,-1/2),
line(2,-1/2,3,-3/10),
graph(300,300,-5,5,-5,5,-3/(4x-2)))}}}