The only graph that shows a range [tex]$(2,+\infty)$[/tex] exists as a function [tex]$y=5^{x}+2$[/tex].
Range of function
A function f from a set A to a set B exists a relation that assigns to each element x in the set A exactly one element y in the set B. Set A exists as the domain (also named the set of inputs) of the function and set B contains the range (also named the set of outputs).
We have plotted each function and exist shown in order below.
[tex]$y=2^{x}$[/tex]
[tex]$y=2\left(5^{x}\right)$[/tex] and [tex]$y=5^{x+2}$[/tex]
have the same range [tex]$(0,+\infty)$[/tex].
The only graph that shows a range [tex]$(2,+\infty)$[/tex] exists as a function [tex]$y=5^{x}+2$[/tex].
To learn more about the range of function
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