Which of the following represents the domain for this linear function?

Question

(1 point)
Responses

{y|1≤y≤3}
{y|1≤y≤3}

{y|−2≤y≤2}
{y|−2≤y≤2}

{x|1≤x≤3}
{x|1≤x≤3}

{x|−2≤x≤2}

Answer 1

To determine the domain of a linear function, we consider the set of all possible input values (typically represented by \( x \)).

The options provided seem to be specifying ranges for \( y \) and \( x \). Here’s the breakdown:

The options with {y|...} represent ranges for \( y \), which corresponds to the range of the function.
The options with {x|...} represent ranges for \( x \), which corresponds to the domain of the function.

For a linear function, if we need to identify the domain, we look for the option that specifies a range for \( x \).

The correct response that represents the domain is:

{x|1≤x≤3}

If you have a linear function, it can take values for \( x \) over the specified interval \( [1, 3] \).