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Identify the RANGE for the following graph?

A. −5
A. −5
B. All Real Numbers
B. All Real Numbers
C. −[infinity]
C. −[infinity]
D. (0,0)

1 Answer

7 votes

Final Answer:

The RANGE for the following graph is:

B. All Real Numbers.

Step-by-step explanation:

The graph is described as having a range of "All Real Numbers," indicating that the y-values cover the entire real number line. This implies that for any x-value on the graph, there is a corresponding y-value that can be any real number. The option (0,0) suggests a specific point, but the graph's range extends beyond this single point.

Similarly, the notation −[infinity] in option C emphasizes that the graph spans the entire y-axis, including negative infinity. Thus, option B appropriately captures the broad and continuous nature of the graph's range, encompassing all possible real numbers.

Understanding the range of a graph involves examining the vertical extent of its points. In this case, the graph covers every conceivable y-value without any gaps or exclusions. The option (0,0) represents only one point, and the negative infinity in option C is more symbolic, emphasizing the unbounded nature of the graph's lower limit. Therefore, "All Real Numbers" succinctly encapsulates the comprehensive and unbounded nature of the graph's range.

User Petar Petrov
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