Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
Related questions
Topic Video
Question
I'm confused because f(x) doesn't have a rule so I'm unsure how to plug in the x and y values into the rate of change formula. f(a+h) - f(a) / h
Expert Solution
Step 1
Formula used:
The average rate of change of the function in the interval is
…(1)
Here, A is rate of change of the function.
Calculation:
(a)
The interval can be written in the form of as,
Compare with to obtain the value of a and h as,
Substitute in equation (1).
It is observed form the graph that and .
Substitute and in above equation.
Thus, the average rate of change of the function in the interval is 2.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage