 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2011/ia/paper-1/10e/i/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

f (x) = (x + 1) /2

(0, 1)

into

(0, 1)

, but

f (x) - x = (1 - x) /2 > 0

throughout the domain. Its only possible fixed point is the excluded endpoint one.

 New to topics? Read the docs here!