Question

piecewise function?

source:
image created for vva via desmos; 2025

\\(x \le 1\\)
\\(x \ge 1\\)
\\(x < 1\\)
\\(1 < x < 2\\)

Explanation:

Identify the horizontal segment

Using the Piecewise Functions knowledge point

$$ y = 2 \quad \text{for} \quad x \le 1 $$

Determine the boundary inclusion

Using the Domain of Piecewise Functions knowledge point

$$ \text{Solid circle at } (1, 2) \implies x \le 1 $$

Answer:

• (A) \(x \le 1\) (Correct answer)
• (B) \(x \ge 1\)
• (C) \(x < 1\)
• (D) \(1 < x < 2\)