Question

What is the y-intercept of the exponential function?

Answer 1

y- intercept = - 1

Explanation:

to find the y- intercept, let x = 0 in f(x) and evaluate

using rule of exponents

`a^(-m)` =
`(1)/(a^(m) )`

given

f(x) =- 32
`(2)^(x-3)` + 3 , then

f(0) = - 32
`(2)^(0-3)` + 3

= - 32
`(2)^(-3)` + 3

= - 32 ×
`(1)/(2^3)` + 3

= - 32 ×
`(1)/(8)` + 3

= - 4 + 3

= - 1 ← y- intercept