Answer:
- the domain of the function - all real numbers;
- the range of the function - all real numbers [tex]y>5.[/tex]
Step-by-step explanation:
Consider the parent function [tex]y=3^x.[/tex] The base of this exponential function is [tex]3>0,[/tex] then the function is increasing and
- the domain of the function - all real numbers;
- the range of the function - all positive real numbers [tex]y>0.[/tex]
The graph of the function [tex]f(x)=3^x+5[/tex] is translated 5 units up graph of the parent function (see attached diagram).
Thus,
- the domain of the function - all real numbers;
- the range of the function - all real numbers [tex]y>5.[/tex]
