Question

Graph: $g\left(x\right)={\left(\frac{1}{5}\right)}^x$

Short answer

The graph of ${\left(\frac{1}{5}\right)}^x$is :

Step-by-step solution

Step 1. Given

The function${\left(\frac{1}{5}\right)}^x$

To graph the given function.

Step 2. Find the points

Find the points of$g\left(x\right)={\left(\frac{1}{5}\right)}^x$

$x$	$g\left(x\right)={\left(\frac{1}{5}\right)}^x$	$(x,g(x\left)\right)$
$-2$	${\left(\frac{1}{5}\right)}^{-2}=25$	$(-2,25)$
$-1$	${\left(\frac{1}{5}\right)}^{-1}=5$	$(-1,5)$
$0$	$\left(\frac{1}{5^0}\right)=1$	$(0,1)$
$1$	$\frac{1}{5^1}=\frac{1}{5}$	$(1,\frac{1}{5})$
$2$	${\left(\frac{1}{5}\right)}^2=\frac{1}{25}$	$(2,\frac{1}{25})$

Step 3. Plot the points in the graph

Plot the ordered pairs in the graph.