Comparing Local and Relative Max/Min

In summary, local max/min refers to the highest or lowest point in a specific region, while relative max/min refers to the highest or lowest point in the entire data set. Local max/min can be identified by looking at critical points where the slope of the graph changes, and comparing local and relative max/min can provide insight into the behavior and patterns of a function or data set. If a function has no local max/min, it indicates a constant increase or decrease or a global max/min at the end points. A function can have multiple local and relative max/min due to multiple regions of slope change or peaks and valleys in the data set.
  • #1
UrbanXrisis
1,196
1
the question is http://home.earthlink.net/~urban-xrisis/clip_image002.jpg

what is the difference between a local max/min and a relative max/min?

is the correct answer b?
 
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  • #2
UrbanXrisis said:
the question is http://home.earthlink.net/~urban-xrisis/clip_image002.jpg

what is the difference between a local max/min and a relative max/min?

is the correct answer b?
Your answer "b" is CORRECT.
"Local Extremum" and "Relative Extremum" are the same.


~~
 
Last edited by a moderator:
  • #3


Yes, the correct answer is b. A local max/min is a point on a graph that is the highest or lowest point in a specific interval, while a relative max/min is a point on a graph that is the highest or lowest point in the entire function.
 

Related to Comparing Local and Relative Max/Min

What is the difference between local max/min and relative max/min?

Local max/min refers to the highest or lowest point in a specific region or area, while relative max/min refers to the highest or lowest point in the entire data set.

How can we identify local max/min?

Local max/min can be identified by looking at the points where the slope of the graph changes from positive to negative or negative to positive. These points are also known as critical points.

Why is it important to compare local and relative max/min?

Comparing local and relative max/min can help us understand the behavior of a function or data set as a whole. It can also provide insight into the overall trend and patterns present in the data.

What does it mean if a function has no local max/min?

If a function has no local max/min, it means that the function is either constantly increasing or decreasing in a specific region or has a constant slope. This can also indicate that the function has a global max/min at the end points of the data set.

Can a function have multiple local and relative max/min?

Yes, a function can have multiple local and relative max/min. This can happen when the function has multiple regions where the slope changes from positive to negative or negative to positive, or when it has multiple peaks or valleys in the data set.

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