Problem

Use the graph to state the absolute and local max…

13:13

Question

Answered step-by-step

Problem 4 Easy Difficulty

For each of the numbers $ a $, $ b $, $ c $, $ d $, $ r $, and $ s $, state whether the function whose graph is shown has an absolute maximum or minimum, a local maximum or minimum, or neither a maximum nor a minimum.

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by David Mccaslin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

That was not easy, glad this was able to help

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 4

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Video Transcript

So in this problem we're given this graph and asked for each of the numbers A, B, c, D, r and S. State whether the function with this graph is an absolute maximum or minimum or local maximum or minimum, or neither of those. So let's start with a. So a is an end point out here. And as we can tell looking at the graph, it is not an absolute max as there are other parts of the graph above it that have higher values of Y. And it's not a minimum as there are other points below it as well. So it is neither a max nor a minimum. Okay, be so be as some kind of a minimum point but it looks like the point at our is actually lower than the point that be. So this is a local minimum. And especially since the curve is decreasing down to be going from left to right and then increasing past B. That makes it a local minimum as well. See by similar logic is going to be a local maximum in here as it is a maximum because the graph is increasing as we approach, see from the left and then decreasing as we go past, see heading on toward toward the right, okay, then, D Well, D is is a decreasing curve until we get to D and then it continues to decrease on past it. So D is neither a maximum nor a minimum and then our well, our is the lowest point we have of the curve. So our is both a local minimum. Right? As the graph is decreasing, going into our and then increases after our and it is our absolutely minimum for this function. Okay, So then the point S, as it's an endpoint, cannot be either a local men or local max, but it is the highest point on the curve, so s. Is an absolute maximum for this function, and so there we go.

Get More Help with this Textbook

James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem

Use the graph to state the absolute and local max…

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 2 / BC Educators

Catherine Ross

Anna Marie Vagnozzi

Kristen Karbon

Joseph Lentino

Calculus 2 / BC Courses

Recommended Videos

Watch More Solved Questions in Chapter 4

Video Transcript

James Stewart

Calculus: Early Transcendentals

Catherine Ross

Anna Marie Vagnozzi

Kristen Karbon

Joseph Lentino

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus: Early Transcendentals

Catherine Ross

Anna Marie Vagnozzi

Kristen Karbon

Joseph Lentino

James StewartCalculus: Early Transcendentals

Catherine Ross

Anna Marie Vagnozzi

Kristen Karbon

Joseph Lentino

James Stewart

Calculus: Early Transcendentals