Question

Graph: $f\left(x\right)={\left(\frac{1}{4}\right)}^x$

Short answer

The graph of $f\left(x\right)={\left(\frac{1}{4}\right)}^x$is :

Step-by-step solution

Step 1. Given

The function$f\left(x\right)={\left(\frac{1}{4}\right)}^x$

To graph the given function.

Step 2. Find the points

Find the points of $f\left(x\right)={\left(\frac{1}{4}\right)}^x$

$x$	$f\left(x\right)={\left(\frac{1}{4}\right)}^x$	$(x,f(x\left)\right)$
$-2$	${\left(\frac{1}{4}\right)}^{-2}=4^2$ $=16$	$(-2,16)$
$-1$	${\left(\frac{1}{4}\right)}^{-1}=4$	$(-1,4)$
$0$	${\left(\frac{1}{4}\right)}^0=1$	$(0,1)$
$1$	${\left(\frac{1}{4}\right)}^1=\frac{1}{4}$	$(1,\frac{1}{4})$
$2$	${\left(\frac{1}{4}\right)}^2=\frac{1}{16}$	$(2,\frac{1}{16})$

Step 3. Plot the points in the graph

Plot the ordered pairs in the graph.