Suppose that f is continuous on [0, 6] and that the only solutions of the equation f(x) = 3 are x = 1 and x = 5. If ƒ(4) = 5, then which of the following statements must be true? (i) f(2) < 3 (ii) f(0) < 3 (iii) f(6) < 3 A) (ii) only (B) (i) and (ii) (C) (i) and (iii) (D) none of them (E) (i) only (F) (iii) only (G) (ii) and (iii)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
icon
Related questions
Question
Suppose that f is continuous on [0,6] and that the only solutions of the equation f(x) = 3 are x = 1 and x = 5. If
f(4) = 5, then which of the following statements must be true?
(i) ƒ(2) < 3
(ii) f(0) < 3
(iii) f(6) < 3
(A) (ii) only (B) (i) and (ii) (C) (i) and (iii) (D) none of them (E) (i) only (F) (iii) only (G) (ii) and (iii)
(H) all of them
Transcribed Image Text:Suppose that f is continuous on [0,6] and that the only solutions of the equation f(x) = 3 are x = 1 and x = 5. If f(4) = 5, then which of the following statements must be true? (i) ƒ(2) < 3 (ii) f(0) < 3 (iii) f(6) < 3 (A) (ii) only (B) (i) and (ii) (C) (i) and (iii) (D) none of them (E) (i) only (F) (iii) only (G) (ii) and (iii) (H) all of them
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage