6. Let f be a function such that f(2) = 3 and f(6) = 19. Which of the following conditions guarantees f'(c) = 4 for some value of c in the interval (2,6)? %3D %3D %3D (A) f is increasing and continuous on [2, 6]. (B) f is continuous on [2, 6]. (C) f is defined for all x in [2,6]. (D) f is differentiable on (2,6) and continuous on [2, 6].

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
6. Let f be a function such that f(2) = 3 and f(6) = 19. Which of the following conditions guarantees
f'(c) = 4 for some value of c in the interval (2, 6)?
%D
(A) ƒ is increasing and continuous on [2, 6].
(B) f is continuous on [2, 6].
(C) f is defined for all x in [2,6].
(D) f is differentiable on (2, 6) and continuous on [2, 6].
Transcribed Image Text:6. Let f be a function such that f(2) = 3 and f(6) = 19. Which of the following conditions guarantees f'(c) = 4 for some value of c in the interval (2, 6)? %D (A) ƒ is increasing and continuous on [2, 6]. (B) f is continuous on [2, 6]. (C) f is defined for all x in [2,6]. (D) f is differentiable on (2, 6) and continuous on [2, 6].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Inner Product Spaces
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning