Domain of a function can be defined as set of all possible inputs that can be inserted into a function.
The range of a function is set of all the values that the function assumes. This is the values that the function gives when an x value is plug into it.
The function with domain [tex]\rm(-infinity,infinity)[/tex] and range [tex]\rm(2,infinity)[/tex] is
[tex]\rm y = (.25^x) + 2[/tex] and [tex]y = (3^x) + 2[/tex].
The domain [tex]\rm(-infinity,infinity)[/tex] implies that domain includes all real numbers. Therefore all the options are correct for this criteria.
For the range to be [tex]\rm(2,infinity)[/tex] the function must be in the form [tex]\rm a^x+b[/tex].
Therefore option B and C are correct satisfying the condition:
domain [tex]\rm(-infinity,infinity)[/tex] and range [tex]\rm(2,infinity)[/tex].
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