Answer:
We have been given equation as [tex]g\left(x\right)=\frac{10}{x}[/tex].
Now we need to graph the given equation [tex]g\left(x\right)=\frac{10}{x}[/tex]..
Clearly it is not linear as equation is not of the form [tex]y=mx+b[/tex]. So we need to find some points on given equation [tex]g\left(x\right)=\frac{10}{x}[/tex]. by plugging some random values of x like -5,-3,1,... etc.
for x=-5, we get:
[tex]g\left(x\right)=\frac{10}{x}[/tex]
[tex]g\left(-5\right)=\frac{10}{-5}=-2[/tex].
Hence first point is at (-5,-2). Similarly we can find more points and graph those points.
x can't be 0 as division by 0 is not defined so it will have vertical asymptote at x=0.
Since degree of numerator is less than degree of denominator so y=0 will be horizontal asymptote.
Now join those points by a curved line to get final graph.
