The statement which is true regarding the graph of g(x) is that: A. the domain is all real numbers.
What is a domain?
A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
What is a range?
A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to identify the range and domain of this graph?
The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.
By critically observing the graph of g(x) shown (see attachment), we can infer and logically deduce the following:
- Domain = (-∞, ∞) i.e the domain is all real numbers.
Read more on domain here: https://brainly.com/question/17003159
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