we have the function
f(x)=(1/2)^x
Remember that
the y-intercept is the value of f(x) when the value of x=0
so
For x=0
substitute in the given function
f(x)=(1/2)^0
f(x)=1
so
the y-intercept is the point (0,1)
the answer is option A
see the attached figure to better understand the problem
Part 2
End behavior
we have that
as x→+∞ f(x)→0
as x→-∞ f(x)→+∞
therefore
the answer is option C
