How do you find the intercepts, asymptotes and graph $y=(1/2)^x$ ?

Question

1926 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-18T10:09:08

$y=0$ is an asymptote
The curve intersects the y axis at $(0, 1)$

The graph of $y=(1/2)^x$
graph{y=(1/2)^x[-20,20,-10,10]}

from the equation $y=(1/2)^x$ as we increase the value of x more to the right. That is more positive up $+oo$ , the value of y approaches zero.

Therefore $y=0$ is approached by the curve and $y=0$ is an asymptote.

When $x=0$ the value of $y=1$ . Therefore , $b=1$ is a y-intercept.

have a nice day ! from the Philippines..

How do you find the intercepts, asymptotes and graph y=(1/2)^x y=(1/2)^x?