Question

What is the domain of the exponential function?

y=8(0.2)x


(1 point)
Responses

{x|x>0}
start set x such that x is greater than 0 end set

{x|0<x≤8}
start set x such that 0 is less than x comma x is less than or equal to 8 end set

{x|x∈R}
start set x such that x is in the real numbers end set

{x|0.2≤x≤8}

Answer 1

The domain of the exponential function \( y = 8(0.2)^x \) is all real numbers since the exponent \( x \) can take any real value. Thus, the correct response is:

\[
\{x | x \in \mathbb{R}\}
\]
This means \( x \) can be any real number.