Question

what is the domain of this function?
graph of a coordinate plane with points at (-4,4), (-1,1), (1,4), (2,2), (3,-1)
options:
{-4, -1, 2, 3, 4}
{-1, 1, 2, 4}
{-4, -1, 1, 2, 3}
{-4, -1, 1, 2, 4}

Explanation:

Step1: Identify x - coordinates of points

The domain of a function (represented by discrete points) is the set of all x - values (input values) of the points. From the graph, we can identify the x - coordinates of the blue dots:

• The first dot: \(x=-4\)
• The second dot: \(x = - 1\)
• The third dot: \(x=1\)
• The fourth dot: \(x = 2\)
• The fifth dot: \(x=3\)

Step2: Form the set of x - values

We collect these x - values to form the domain. The x - values are \(-4,-1,1,2,3\).

Answer:

\(\{-4, - 1,1,2,3\}\)