Question

13 what is the domain of the function? (a) graph of a function with points at (4, y1), (8, y2), (12, y3) domain: { } (b) is the function discrete or continuous? a discrete b continuous

Explanation:

Part (a)

Step1: Identify x - values of points

The points on the graph have x - coordinates 4, 8, and 12.

Step2: Determine the domain

The domain of a discrete function (from a graph with points) is the set of all x - values of the points. So we list these x - values.

A discrete function is represented by distinct points (not connected), while a continuous function is represented by a connected graph (a line or curve). Here, the graph has separate points, so it is discrete.

Answer:

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

Part (b)