Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

16. determine whether each graphs domain is discrete or continuous.

Question

  1. determine whether each graphs domain is discrete or continuous.

Explanation:

for the first graph (left):

Step1: Recall domain types

Discrete domain: values are distinct, separate (e.g., whole numbers, specific points). Continuous domain: values form an interval (connected, all real numbers in a range).

Step2: Analyze the first graph

The first graph has separate, unconnected points (dots). So its domain consists of distinct, individual x - values (not a continuous interval). Thus, the domain is discrete.

for the second graph (right):

Step1: Recall domain types

As before, discrete (separate points) vs. continuous (connected, interval).

Step2: Analyze the second graph

The second graph is a line segment (connected line), meaning the x - values form a continuous interval (all real numbers between the start and end x - values of the line). Thus, the domain is continuous.

Answer:

  • First (left) graph: Discrete domain.
  • Second (right) graph: Continuous domain.