Question

Which equation models the rational function shown in the

Answer 1

2(x+2)/x-2

Step-by-step explanation:

Answer 2

Answer:

f(x)=$\frac{2(x+2)}{x-2}$

Step-by-step explanation:

We are given that a graph.

We have to find the equation which models the rational function shown in the graph.

From given graph we can see that

At x=2, the function in the graph is approaches to infinity.

It means function is not defined at x=2

We know that a rational function is undefined when denominator is equal to zero.

f(x)=$\frac{2(x+2)}{x-2}$

x-2=0

x=2

It means function is not defined at x=2

y-intercept:y=-2

The function is passing through the point (1,-6).

When substitute x=1

$f(1)=\frac{2(1+2)}{1-2}=-6$

Therefore,Option 2 is not correct because function is not defined at x=-2

Hence, option 1 is true.