Find the domain and range (only) from the graph of a rational function.

Question

asked Nov 17, 2023 180k views

1 Answer

Mike Henry · Answer 1 · 2023-11-22T03:45:13+0000

Domain

The domain is the set of all the values of x that satisfies the rational function in the graph.

The graph has a vertical asymptote at x=5, this means that x is never equal to 5.

Therefore, the domain of the function is:

$(-\infty,5)\cup(5,\infty)$

Range

The range is the set of all the values of y that satisfies the rational function in the graph.

The graph has a horizontal asymptote at y=0, this means that y is never equal to 0.

Therefore, the range of the function is:

$(-\infty,0)\cup(0,\infty)$