Solution Found!
Solved: The sign-preserving property of continuous
Chapter 2, Problem 68E(choose chapter or problem)
QUESTION:
PROBLEM 68E
The sign-preserving property of continuous functions Let ƒ be defined on an interval (a, b) and suppose that ƒ(c) ≠ 0 at some c where ƒ is continuous. Show that there is an interval about c where ƒ has the same sign as ƒ(c).
Questions & Answers
QUESTION:
PROBLEM 68E
The sign-preserving property of continuous functions Let ƒ be defined on an interval (a, b) and suppose that ƒ(c) ≠ 0 at some c where ƒ is continuous. Show that there is an interval about c where ƒ has the same sign as ƒ(c).
ANSWER:
Solution :
Step 1 of 4 :
In this problem, we have to show that there is an interval about c where ƒ has the same sign as ƒ(c).