Consider the following function. f(x) = -x2 - 14x – 2 Find its average rate of change over the interval [-7, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(-7) = f'(1) =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Concept explainers
Topic Video
Question
100%

I am not understanding how to do this problem.  thank you

Consider the following function.
f(x) = -x2 - 14x – 2
Find its average rate of change over the interval [-7, 1].
Ay
Ax
Compare this rate with the instantaneous rates of change at the endpoints of the interval.
f'(-7) =
f'(1) =
Transcribed Image Text:Consider the following function. f(x) = -x2 - 14x – 2 Find its average rate of change over the interval [-7, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(-7) = f'(1) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
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
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning