Question

The graph shown here is the graph of which rational function

Answer 1

This is the graph of 1/x moved 4 units to the left

so its f(x) = 1 / (x + 4)

C

Answer 2

The correct option is C.

Explanation:

The parent rational function is defined as

`g(x)=(1)/(x)`

Where x=0 is a vertical asymptote of the function.

If vertical asmptote of a ration function is x=a, then the rational function is defined as

`y=(1)/(x-a)`

From the given graph it is clear that the vertical asypmtote of the function is x=-4. It means the given function is not defined for x=-4. So, the required function is

`F(x)=(1)/(x-(-4))`

`F(x)=(1)/(x+4)`

Therefore the correct option is C.