Question

What is the y intercept of the exponential function? f(x)= - 1/3 (3)^(x+3) -1

Answer 1

-10

Explanation:

f(x) =
`-(1)/(3)`
`(3)^(x+3)` - 1

f(0) =
`-(1)/(3)`
`3^(3)` - 1 =
`-(1)/(3)` · 27 - 1 = -9 - 1

= -10

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Answer 2

y- intercept = - 10 or (0, - 10 )

Explanation:

to find the y-intercept, that is where the graph crosses the y- axis let x = 0 in the equation

f(0) = -
`(1)/(3)` (3)³ - 1

= -
`(1)/(3)` × 27 - 1 = - 9 - 1 = - 10