A student draws the graph of a function, f (x), as shown. 10 8. 4. -10 -20 -2 -4 4. 8. 10 -4 -8 -10 What is the average rate of change of the function over the interval [1, 4]? 1 1.5 3.5 2. 6. 8.

College Algebra
7th Edition
ISBN:9781305115545
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 2E
icon
Related questions
Question
A student draws the graph of a function, f (x), as shown.
10
8.
4
2.
-10-8
-2 0
-2
-9-
-4.
4.
8.
10
-4
-8
-10
What is the average rate of change of the function over the interval [1, 4]?
1
O 1.5
O 3.5
6.
2.
6.
6.
Transcribed Image Text:A student draws the graph of a function, f (x), as shown. 10 8. 4 2. -10-8 -2 0 -2 -9- -4. 4. 8. 10 -4 -8 -10 What is the average rate of change of the function over the interval [1, 4]? 1 O 1.5 O 3.5 6. 2. 6. 6.
Expert Solution
Step 1

Formula used:

The average rate of change of the function fx over the interval a,b is

Ax=fb-fab-a

Here, Ax is average rate of change of the function, fa and fb are the value of the function at a and b respectively.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Rate of Change
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,