Answer:
Domain: set of all real numbers; (-∞, ∞)
Range : {y | y f > 2}
Check the attached figure to visualize the graph.
Step-by-step explanation:
The graph of the given function is attached. Please check the attached figure.
As the function is given as:
[tex]f(x) = (\frac{1}{3})^{x} +2[/tex]
As the table of some of the values of x and y values for [tex]f(x) = (\frac{1}{3})^{x} +2[/tex] is given as follows:
x y
-2 11
-1 5
0 3
1 2.33
2 2.111
Hence, it is clear that the function is defined for every input value of x. So, domain is the set of all real numbers.
Domain: set of all real numbers; (-∞, ∞)
If we carefully analyze the graph of this function, it is clear that no matter what input value of x we put, range or y-value of this function would always be be greater than 2. Check the attached graph figure to better visualize the range of the function.
Range can also be denoted as: Range : {y | y f > 2}
Keywords: graph, function, domain and range
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