Use the function f(x) = 15x¹6 — 16x¹5 to answer the following questions (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: | 2 f(x) is increasing on x = ( )U( (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: 2 f(x) is decreasing on x = ( )U( (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: [ 2▼ f(x) is concave up on 9 9
Use the function f(x) = 15x¹6 — 16x¹5 to answer the following questions (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: | 2 f(x) is increasing on x = ( )U( (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: 2 f(x) is decreasing on x = ( )U( (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: [ 2▼ f(x) is concave up on 9 9
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Define the problem
VIEWStep 2: Calculate the derivative of function
VIEWStep 3: Calculate the critical values
VIEWStep 4: Calculate the intervals of increasing and decreasing
VIEWStep 5: Calculate the second derivative
VIEWStep 6: Calculate the sign table for f''(x)
VIEWStep 7: Calculate the concave up and concave down intervals
VIEWSolution
VIEWStep by step
Solved in 8 steps with 44 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning