Question

What is the y-intercept of f(x)=(1/2)^x

Answer 1

to find y-int set x=0
the y-intercept is (0,1)

Answer 2

y- intercept = 1

Explanation:

the y- intercept is the point on the y- axis where f(x) crosses.

the x- coordinate of any point on the y- axis is 0

substitute x = 0 into f(x)

f(x) =
`((1)/(2)) ^(x)` , then

f(0) =
`((1)/(2)) ^(0)` = 1 [ any value to the power of zero = 1 ]

then y- intercept = 1 or (0, 1 ) in coordinate form