Question

What is the y intercept of f (x)=(3/5)^x

Answer 1

y- intercept = 1

Explanation:

given

f(x) =
`((3)/(5)) ^(x)`

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

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

let x = 0 and find f(0)

f(0) =
`((3)/(5)) ^(0)` = 1 [ note
`a^(0)` = 1 , is a rule of exponents ]

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