Question

3 what is the domain of the function? (a) domain: { } (b) is the function discrete or continuous? a continuous b discrete

Explanation:

Part (a)

Step1: Identify x - values

The graph has points at \(x = 4\), \(x=8\), and \(x = 12\) (from the coordinates of the dots: \((4,y)\), \((8,y)\), \((12,y)\)).

Step2: List domain values

The domain of a discrete function (since it's a set of points) is the set of all \(x\) - values of the points. So the domain is the set containing 4, 8, and 12.

A discrete function is represented by distinct points (not connected), while a continuous function is represented by a connected line or curve. The given function is represented by separate points, so it is discrete.

Answer:

\(\{4, 8, 12\}\)

Part (b)