The graph of the option in the question has a domain of -∞ < x < 3.5.
- Please find attached the drawing of a graph that has a domain of -∞ < x < ∞
The domain of a graph are the possible x-values that can be obtained from the graph.
A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.
An asymptote is a straight line to which a graph approaches, as either the<em> </em><em>x </em>or y-value approaches infinity.
The given graph has a vertical asymptote at <em>y </em>≈ 3.5
The domain of the given graph is therefore, -∞ < x < 3.5
Similarly, the graph has a horizontal asymptote at <em>x</em> ≈ 3
The range of the given graph is therefore, -∞ < y < 3.
A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.
A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.
An example is, <em>y </em>= x
- A graph that has a domain of -∞ < x < ∞ is attached.
Learn more about the domain and range of a graph here:
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