Question

What is the domain of the function shown in the graph below? y 10 9 8 7 6 5. 4 3 2 -10 -9 -8 -7 -6 in -4 3 -2 1 6 2 8 9 10 -2 -3 -4 -5 -6 -8 9 10 W Type here to search Et TH-WL-57336

Answer 1

1) As the Domain is the set of inputs (x) for that function, as we can see in the graph.

There's one point in the graph x =8, where should be an asymptote i.e. a vertical or horizontal line that prevents both graphs do not trespass.

So we can write the Domain as

D =(-∞, 8) U (8, ∞)

Because in this function, the point x=8 is not included, and from point 8 on the function continues.