Question

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

Answer 1

Answer:

The third option is correct.

Step-by-step explanation:

Answer 2

Answer:

We have been given equation as $g\left(x\right)=\frac{10}{x}$.

Now we need to graph the given equation $g\left(x\right)=\frac{10}{x}$..

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 $g\left(x\right)=\frac{10}{x}$. by plugging some random values of x like -5,-3,1,... etc.

for x=-5, we get:

$g\left(x\right)=\frac{10}{x}$

$g\left(-5\right)=\frac{10}{-5}=-2$.

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.