what is the range of this quadratic function? \noptions: \n{y|y ≥ 1}\n{y|y ≥ 5}\n{y|1 ≤ y ≤ 10}\nall real…

what is the range of this quadratic function? \noptions: \n{y|y ≥ 1}\n{y|y ≥ 5}\n{y|1 ≤ y ≤ 10}\nall real numbers

what is the range of this quadratic function? \noptions: \n{y|y ≥ 1}\n{y|y ≥ 5}\n{y|1 ≤ y ≤ 10}\nall real numbers

Answer

Explanation:

Step1: Analyze the parabola's direction and vertex

The quadratic function's graph is a parabola opening upwards (since the arms go up), so it has a minimum point (vertex). The vertex's y - coordinate is the minimum value of the function. From the graph, the vertex (lowest point) has a y - value of 1.

Step2: Determine the range

For a parabola opening upwards, the range is all real numbers (y) such that (y) is greater than or equal to the y - coordinate of the vertex. Since the vertex has a y - coordinate of 1, the range is ({y|y\geq1}).

Answer:

({y|y\geq1})