Question

1. which statement best describes the domain of the graph shown below? * 8 points a. all real numbers less than 3 b. all real numbers greater than 5 c. all real numbers greater than 4 d. all real numbers less than 8

Explanation:

Step1: Recall domain definition

Domain is all x - values of the graph.

Step2: Analyze the graph's x - values

The graph has a line going left (towards negative x - infinity) and stops at x = 3 (open circle, so x < 3). So the x - values are all real numbers less than 3.

Step3: Evaluate options

• Option A: Matches our analysis (all real numbers less than 3).
• Option B: x greater than 5 is incorrect as the graph includes x less than 3.
• Option C: x greater than 4 is incorrect.
• Option D: x less than 8 is incorrect as the left - most part goes to negative infinity, not related to 8.

Answer:

A. All real numbers less than 3