Question

What is the range of the function on the graph? 5 1) all the real numbers 2) all the real numbers greater than or equal to 0 3) all the real numbers greater than or equal to 2 4) all the real numbers greater than or equal to -3

Answer 1

4) all the real numbers greater than or equal to -3

Step-by-step explanation:

The range of a function represents the set of all possible output values the function can produce. In the context of the provided options, the graph illustrates a function that starts from -3 and extends infinitely upwards. Therefore, the range consists of all real numbers greater than or equal to -3.

The graph's pattern indicates that the function covers all values on and above the horizontal line at -3, continuing upwards indefinitely. This implies that any value equal to or greater than -3 can be attained as an output from this function.

While the graph may not show a strict starting point at -3, its shape suggests that it covers all values greater than or equal to -3 along the vertical axis. This makes option 4, "all the real numbers greater than or equal to -3," the accurate description of the function's range based on the graph's behavior.