# How do you sketch the graph of #y=log_(1/2)x# and #y=(1/2)^x#?

##### 1 Answer

See the explanation and the Socratic graphs.

#### Explanation:

The inverse of the second is

two are one and the same...

But the first is got from the second by the swapping

Conventionally ( traditionally ), many call each of the given relations

as the inverse relation for the other.

Separately, each graph can be obtained from the other by rotation

through

Graph of

x = 0 ( y-axis) is asymptotic and

graph{y+1.44 ln (x)=0[0 20 -5 10]}

A short Table for the second

Graph of

y = 0 ( x-axis ) is asymptotic and

graph{ y-(0.5)^x=0[-5 25 -10 10]}