Question

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

Answer 1

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

Explanation:

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.

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