Question

Select the range of the function below.

The image shows a downward-facing parabola graphed on a Cartesian coordinate plane.

Detailed Description:

The image depicts a mathematical graph. Specifically, it showcases a parabola, a type of curve that opens downwards.

Coordinate Plane: The parabola is drawn on a grid, representing the Cartesian coordinate plane. We can see the x-axis (horizontal) and the y-axis (vertical). The axes are marked with numerical values, indicating units on both sides of the origin (0,0).
The Parabola: The downward-opening parabola is centered around the y-axis. It smoothly curves upwards from negative infinity on both sides of the x-axis. The highest point of the parabola (its vertex) is located at the y-axis, near the point (0, 3). The curve then slopes downwards on both sides, eventually reaching a point below the x-axis, indicating negative y-values.
Atmosphere/Mood: The image has a neutral and objective atmosphere, as it represents a mathematical concept rather than a real-world scene or emotional expression.

(1 point)
Responses

{x | −∞<x <∞}
{x | −∞<x <∞}

{y | 2≤y <∞}
{y | 2≤y <∞}

{y | −∞<y ≤2}
{y | −∞<y ≤2}

{y | −∞<y<∞}
{y | −∞<y<∞}

{x | 2≤x <∞}
{x | 2≤x <∞}
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Answer 1

{y | −∞ < y ≤ 2}

The parabola opens downward so y takes all values up to its maximum (the vertex) — all real y less than or equal to 2.