Question 322577
The log requires positive arguments.
{{{-(x+1)>0}}}
{{{x+1<0}}}
{{{x<-1}}}
Start with values of {{{x<-1}}}, calculate y using the equation, plot the ordered pairs, then connect the points with straight lines.
(-1.5,2.301)
(-2,2)
(-2.5,1.824)
(-3,1.699)
(-3.5,1.602)
(-4,1.523)
(-4.5,1.456)
(-5,1.398)
(-5.5,1.347)
(-6,1.301)
{{{drawing(300,300,-10,2,-4,4,
grid(1),
circle(-1.5,2.301, 0.2),
circle (-2,2, 0.2),
circle (-2.5,1.824, 0.2),
circle (-3,1.699, 0.2),
circle (-3.5,1.602, 0.2),
circle (-4,1.523, 0.2),
circle (-4.5,1.456, 0.2),
circle (-5,1.398, 0.2),
circle (-5.5,1.347, 0.2),
circle (-6,1.301, 0.2),
line( -1.5,2.301,-2,2),
line(-2,2,-2.5,1.824),
line( -2.5,1.824,-3,1.699),
line( -3,1.699,-3.5,1.602),
line(-3.5,1.602,-4,1.523),
line( -4,1.523,-4.5,1.456),
line( -4.5,1.456,-5,1.398),
line (-5,1.398,-5.5,1.347),
line(-5.5,1.347,-6,1.301),
blue(line(-1,-10,-1,10)),
graph(300,300,-10,2,-4,4,-log(-x)))}}}
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Continue until you feel you have enough points.
The more points, the smoother the curve, but the more work you need to do.