Question

PLEASE ANSWER, I WILL GIVE THE BRAINLIEST TO WHOEVER ANSWERS FIRST
Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100? Choose from the following to create a limit range. (Such as x = 100)

x, f(x)
=, <, >, ≥, ≤ 0,
-100, 4, 100

Answer 1

f(x)$\geq$100 i hope you get it right

Answer 2

Answer:

The range is $f(x)> -100$

Step-by-step explanation:

Given : The domain is all real numbers, for the function $f(x) = 42^x - 100$

To find : The limit of the range for the function $f(x) = 42^x - 100$

Solution :

The given function is exponential function.

The domain of the function $f(x) = 42^x - 100$ is all real number.

i.e, $D=(-\infty,\infty)[x|x\in\mathbb{R}]$

Range is the set of value that corresponds with the domain.

So, if put $x\rightarrow\infty$

Function approaches to -100

So, if put $x\rightarrow -\infty$

Function approaches to $\infty$

which means the range of the function is

$R=(-100,\infty)[y|y>-100]$

Therefore, The range is $f(x)> -100$