Question

Which is the graph of g(x)=10/x

Answer 1

We have been given equation as
`g\left(x\right)=(10)/(x)`.

Now we need to graph the given equation
`g\left(x\right)=(10)/(x)`..

Clearly it is not linear as equation is not of the form
`y=mx+b`. So we need to find some points on given equation
`g\left(x\right)=(10)/(x)`. by plugging some random values of x like -5,-3,1,... etc.

for x=-5, we get:

`g\left(x\right)=(10)/(x)`

`g\left(-5\right)=(10)/(-5)=-2`.

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.