Answer
The values are $\{\frac{1}{25},\frac{2}{5},4,40, 400,4000\}$.
The range is increasing.
Work Step by Step
The given function is
$g(x)=4\cdot 10^x$
Substitute the values $x=\{-2,-1,0,1,2,3\}$
For $x=-2$.
$\Rightarrow g(-2)=4\cdot 10^{-2}$
$\Rightarrow g(-2)=\frac{4}{10^2}$
$\Rightarrow g(-2)=\frac{4}{100}$
$\Rightarrow g(-2)=\frac{1}{25}$
For $x=-1$.
$\Rightarrow g(-1)=4\cdot 10^{-1}$
$\Rightarrow g(-1)=\frac{4}{10^1}$
$\Rightarrow g(-1)=\frac{4}{10}$
$\Rightarrow g(-1)=\frac{2}{5}$
For $x=0$.
$\Rightarrow g(0)=4\cdot 10^{0}$
$\Rightarrow g(0)=4\cdot 1$
$\Rightarrow g(0)=4$
For $x=1$.
$\Rightarrow g(1)=4\cdot 10^{1}$
$\Rightarrow g(1)=4\cdot 10$
$\Rightarrow g(1)=40$
For $x=2$.
$\Rightarrow g(2)=4\cdot 10^{2}$
$\Rightarrow g(2)=4\cdot 100$
$\Rightarrow g(2)=400$
For $x=3$.
$\Rightarrow g(3)=4\cdot 10^{3}$
$\Rightarrow g(3)=4\cdot 1000$
$\Rightarrow g(3)=4000$.
