Given the graph of f(x), find the following: a) The interval(s) where the graph of f(x) is...

Question:

Given the graph of {eq}f(x) {/eq}, find the following:

a) The interval(s) where the graph of {eq}f(x) {/eq} is increasing and decreasing

b) Any local extrema

c) Any absolute extrema

Graphs:

Answer to such types of question can be only given qualitatively with the available information. We have to carefully observe the intervals for the required answer and answer the questions.

Answer and Explanation:

a) The interval(s) where the graph of {eq}f(x) {/eq} is increasing and decreasing :

From the graph we can see that :

Function is increasing in {eq}\boxed{[-4,-2 ) \cup (2,4 ]} {/eq}

Function is decreasing in {eq}\boxed{(-2,2)} {/eq}

b) Any local extrema

From graph we can see local extrema at the point {eq}\boxed{x=-2,2} {/eq}

c) Any absolute extrema

From graph we can see absolute extrema at the point {eq}\boxed{x=4} {/eq}


Learn more about this topic:

Loading...
Graphs: Types, Examples & Functions

from High School Algebra II: Help and Review

Chapter 16 / Lesson 11
355K

Related to this Question

Explore our homework questions and answers library