Question

Answer the following:

A function f is defined as f(x) = 4x + 5, for – 4 ≤ x < 0. Find the values of f(–1), f(–2), f(0), if they exist

Answer 1

f(x) = 4x + 5, – 4 ≤ x < 0

f(–1) = 4(–1) + 5 = –4 + 5 = 1

f(–2) = 4(–2) + 5 = –8 + 5 = –3

x = 0 ∉ domain of f

∴ f(0) does not exist.