Question

what is the range of the function on the graph?
○ all the real numbers
○ all the real numbers greater than or equal to 0
○ all the real numbers greater than or equal to 2
○ all the real numbers greater than or equal to -3

Explanation:

Step1: Understand the graph type

The graph is a parabola opening upwards, so it has a minimum point.

Step2: Identify the minimum y - value

From the graph, the lowest point (vertex) of the parabola has a y - coordinate of - 3. For a function, the range is the set of all possible y - values. Since the parabola opens upwards, the y - values start from - 3 and go to positive infinity. So the range is all real numbers greater than or equal to - 3.

Answer:

all the real numbers greater than or equal to -3 (the option: all the real numbers greater than or equal to -3)