What is the domain of this function?

(10,0)
(–4,-2)
(–3,1)
(–1,–1)
(3,8)
(5,0)

1 answer

The domain of a function is the set of all possible input values (typically the x-coordinates) for which the function is defined.

For the given points:

  • (10, 0)
  • (–4, -2)
  • (–3, 1)
  • (–1, –1)
  • (3, 8)
  • (5, 0)

The x-coordinates are: 10, -4, -3, -1, 3, and 5.

Thus, the domain of this function is:

\[ {-4, -3, -1, 3, 5, 10} \]

If you would like it expressed in interval notation, since the values are discrete, the domain can also be represented as individual points:

\[ {-4, -3, -1, 3, 5, 10} \]