Answer:
The limit of the range is y>-100.
Step-by-step explanation:
Given : The domain is all real numbers, for the function [tex]f(x) = 4^{2x} - 100[/tex]
To find : what is the limit of the range for the function?
Solution :
The function we have given is an exponential function.
The domain of the function [tex]f(x) = 4^{2x} - 100[/tex] is all real number.
i.e, [tex]D=(-\infty,\infty),[x|x\in\mathbb{R}][/tex]
Range is defined as the set of value that corresponds with the domain.
Taking, [tex]x\rightarrow\infty[/tex]
Function approaches to -100
Taking, [tex]x\rightarrow -\infty[/tex]
Function approaches to [tex]\infty[/tex]
Therefore, The range of the function is defined as
[tex]R=(-100,\infty),[y|y>-100][/tex]
So, The limit of the range is y>-100.
