Question

source:
image created for vva via desmos; 2020

\\(0 \le x \le 1\\)
\\(x > 1\\)
\\(x \le 0\\)
\\(x \ge 1\\)

Explanation:

Identify the highlighted interval

Using the Piecewise Functions and Domain of Piecewise Functions knowledge points
The graph shows a piecewise function with three distinct parts:

1. A blue curve for \(x \le 0\).
2. A black linear segment for \(0 \le x \le 1\) connecting \((0,0)\) and \((1,2)\).
3. A red horizontal ray for \(x \ge 1\).

The black segment is highlighted between the points \((0,0)\) and \((1,2)\). The corresponding domain interval for this specific piece is \(0 \le x \le 1\).

Answer:

• (A) \(0 \le x \le 1\) (Correct answer)
• (B) \(x > 1\)
• (C) \(x \le 0\)
• (D) \(x \ge 1\)