Global Extrema of a Function: Finding the Maximum and Minimum Values

In summary, the Max and Min Function Value is used to find the maximum and minimum values of a set of numbers or a mathematical function. It can be found using the Max and Min functions in most programming languages, but can only be used on numerical data. The Max Function Value returns the highest value while the Min Function Value returns the lowest value, making them useful for identifying extreme points in data analysis and graphing. They are commonly used in data analysis, optimization problems, and statistics.
  • #1
oswald88
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0

Homework Statement



Find max and min value of the function

Homework Equations



attached.

The Attempt at a Solution



no graph, because roots aren't real numbers.
 

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  • #2
As you've found, there are no real values of [itex]x[/itex] where [itex]f'(x)=0[/itex]...what does that tell you about the existence of local maxima/minima? Are there other types of extrema? Where might they occur?
 
  • #3
no idea! need imaginary graph? maybe there isn't any max or min.. so the exercices question is meanless.
 
  • #4
You need to read the section n your textbook on global extrema.
 

1. What is the purpose of the Max and Min Function Value in mathematics?

The Max and Min Function Value is used to find the maximum and minimum values of a given set of numbers or a mathematical function. It helps in identifying the highest and lowest points on a graph.

2. How do you find the Max and Min Function Value?

To find the maximum and minimum values, you can use the Max and Min functions in most programming languages. These functions take in a set of numbers or a mathematical function as input and return the highest and lowest values, respectively.

3. Can the Max and Min Function Value be used on non-numerical data?

No, the Max and Min Function Value can only be used on numerical data. These functions work by comparing the numerical values and determining the highest and lowest values. Non-numerical data cannot be compared in this manner.

4. What is the difference between Max and Min Function Value?

The Max Function Value returns the highest value from a given set of numbers or a function, while the Min Function Value returns the lowest value. They are essentially two sides of the same coin and are used to identify the extreme points of a set of data.

5. When is it appropriate to use the Max and Min Function Value?

The Max and Min Function Value are commonly used in data analysis, optimization problems, and graphing functions. They are also useful in statistics to find the maximum and minimum values of a set of data, such as finding the highest and lowest temperatures in a given period.

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