How do you graph $y=(1/5)^x$ ?

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Answer 1 · 2017-11-08T22:01:52

See below.

The curve intercepts the y axis when $x = 0$

$:.$

$y= (1/5)^0=1$ coordinates $( 0 , 1 )$

as $x-> oo$ $(1/5)^x-> 0$

So the x axis is a horizontal asymptote.

For negative $x$ , $(1/5)^x$ becomes:

$1/(1/5)^x$

as $x -> -oo$ , $1/(1/5)^x->oo$

Graph:

enter image source here

How do you graph y=(1/5)^xy=(1/5)^x?