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source image created for vva via desmos; 2025 \\(y \\le 1\\) \\(y \\ge …

Question

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image created for vva via desmos; 2025

\\(y \le 1\\)
\\(y \ge -1\\)
\\(y \le 0\\)
\\(y \ge 0\\)

Explanation:

Identify the vertex and orientation of the parabola

The graph shows a parabola opening upwards with its vertex at the origin \((0, 0)\).

Determine the range of the function

Since the parabola opens upwards from its minimum point at \(y = 0\), the function takes all real values greater than or equal to \(0\).

$$ y \ge 0 $$

Answer:

  • \(y \le 1\)
  • \(y \ge -1\)
  • \(y \le 0\)
  • \(y \ge 0\) (Correct answer)