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Problem

Sketch the graph of a function $ f $ that is cont…

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Problem 6 Easy Difficulty

Use the graph to state the absolute and local maximum and minimum values of the function.


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Wen Zheng

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 1

Maximum and Minimum Values

Related Topics

Derivatives

Differentiation

Volume

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Top Calculus 2 / BC Educators
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04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

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06:14

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Problem 7
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Problem 9
Problem 10
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Problem 12
Problem 13
Problem 14
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Problem 16
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Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
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Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
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Problem 39
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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
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Problem 57
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Problem 59
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Problem 62
Problem 63
Problem 64
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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 what? We see if we look at the graph, um, it won't be perfect, but it's okay. What we have here is value. It comes down to value about here. Then this comes up and goes down, and then this comes up again and goes right here. So what we see is that the absolute minimum value is clearly going to occur when X equals four. And that's this. How you're right here. So it's the absolute minimum, um, and that that would also be considered a local minimum. Then we have a local maximum occurring at three. That's right here. We also have a local maximum occurring at six. So that's this point right here. Then. Lastly, we have our local minima, which already said, there's one right here at X equals four, but then we also have one. Um, since there's a point right here, this is considered a local minima at X equals two because we see that every point to the right is increasing. Every point to the left is increasing immediately thereafter.

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Related Topics

Derivatives

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Top Calculus 2 / BC Educators
Heather Zimmers

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Kayleah Tsai

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Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
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