[tex]\text{Find the y-intercept:}\\\\\text{To fidn the y-intercept, we would have to plug in 0 to x. Since the y-intercept}\\\text{exists whenever x is equal to 0}\\\\\text{Solve:}\\\\f(x)=(\frac{1}{2})^0\\\\\text{We know that whenever the exponent is 0, it equals to 1}\\\\f(x)=1\\\\\text{Therefore, this makes the y-intercept 1.}\\\\\text{Answer is stated as a point on the graph}\\\\\boxed{(0,1)}[/tex]