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

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

#### Explanation:

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

from the equation $y = {\left(\frac{1}{2}\right)}^{x}$ as we increase the value of x more to the right. That is more positive up $+ \infty$, 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.

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