olivepig481Lv1
20 Dec 2021
Problem 8c
Page 171
Section: Focus on Problem Solving
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
A continuous function, say f, with domain [0,1] and range in [0,1].
Step-by-step explanation
Step 1.
Intermediate Value Theorem states that: If f is a function which is continuous at every point of the interval [a,b] and f(a)<0, f(b)>0 then f(x)=0 at some point x in (a,b).
Now,
If f(0)=0 or f(1)=1 , then we are done .
Now, Suppose
and