Homework Help is Here – Start Your Trial Now!
Math
Calculus
y 2- y = f(x) -2 -3

y 2- y = f(x) -2 -3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 77PFA
See similar textbooks
icon
Related questions
Question

The figure shows the graph of y = f(x) and its two vertical asymptotes. Use the graph to find the interval(s) on which f is decreasing.

y 2- y = f(x) -2 -3
Transcribed Image Text:y 2- y = f(x) -2 -3
Expert Solution
Step 1

From the graph, we have vertical asymptotes at x = -2 and x = 2 and point of maxima at y = 3

implies that, 

limx→-2f(x)= limx→2 f(x) = -∞ and   dydx=0 at (0, 3)

Step 2

From the graph observe that,

The derivative of f(x) is positive in the interval (-2, 0) and it is negative in interval (0, 2)

Hence, f(x) is increasing on interval (-2, 0) and,

            f(x) is decreasing on interval (0, 2)

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Asymptote
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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
SEE MORE TEXTBOOKS