Question
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answers
Answered by
GPT-4o
The domain of a function is the set of all possible input values (x-values) for which the function is defined. Given the function as a set of ordered pairs:
\[
\{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)\}
\]
The domain consists of all the x-values from these ordered pairs. Here, they are:
\[
3, 6, -1, 5, and -4
\]
So, the correct set that represents the domain is:
\[
\{x \mid x = -4, -1, 3, 5, 6\}
\]
Therefore, the correct answer is:
\[
\{x \mid x = -4, -1, 3, 5, 6\}
\]
\[
\{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)\}
\]
The domain consists of all the x-values from these ordered pairs. Here, they are:
\[
3, 6, -1, 5, and -4
\]
So, the correct set that represents the domain is:
\[
\{x \mid x = -4, -1, 3, 5, 6\}
\]
Therefore, the correct answer is:
\[
\{x \mid x = -4, -1, 3, 5, 6\}
\]