180k views
0 votes
Find the domain and range (only) from the graph of a rational function.

Find the domain and range (only) from the graph of a rational function.-example-1
User Abraham P
by
4.4k points

1 Answer

7 votes

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)

User Mike Henry
by
4.9k points