Answer:
f(x)=[tex]\frac{2(x+2)}{x-2}[/tex]
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)=[tex]\frac{2(x+2)}{x-2}[/tex]
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
[tex]f(1)=\frac{2(1+2)}{1-2}=-6[/tex]
Therefore,Option 2 is not correct because function is not defined at x=-2
Hence, option 1 is true.
