# What’s the absolute minimum information needed to have a valid coordinate?

Geographic Information SystemsContents:

## What is the absolute minimum?

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is **a point where the function obtains its least possible value**.

## What is the absolute minimum of a graph?

Absolute Minimum of a Graph: The absolute minimum of a given graph is **the point on the entire graph with the lowest y-value**. There can only be one absolute minimum of a graph.

## How do you find the absolute minimum?

Find all critical numbers of f in the open interval (a,b). Evaluate f at each critical number and at both endpoints. **The smallest value is the absolute minimum**, and the largest value is the absolute maximum.

## What is an example of absolute minimum?

Since 0 is the smallest value we see for f(x) in this chart, we have that **0 and 1** are both absolute minima of f(x).

## Can there be more than 1 absolute minimum?

Important: Although **a function can have only one absolute minimum value** and only one absolute maximum value (in a specified closed interval), it can have more than one location (x values) or points (ordered pairs) where these values occur.

## What is the minimum value of an absolute value function?

The relative minimum value of f is the same as the absolute minimum, namely **0** which occurs at (0,0).

## What is relative minimum and absolute minimum?

Quote from video: *So that's a relative minimum. Point. This right over here is a relative minimum point even if there are other parts of the function that are lower.*

## Is an absolute minimum a local minimum?

**An absolute minimum, also called a global minimum, occurs when a point of the function is lower than any other point on the function within the function’s domain**. A local minimum, also called a relative minimum, occurs when a point is lower than the points surrounding it.

## What is a maximum and minimum point on a graph?

**A global maximum point refers to the point with the largest -value on the graph of a function when a largest -value exists.** **A global minimum point refers to the point with the smallest -value**. Together these two values are referred to as global extrema. Global refers to the entire domain of the function.

## What is relative minimum and absolute minimum?

Quote from video: *So that's a relative minimum. Point. This right over here is a relative minimum point even if there are other parts of the function that are lower.*

## What is a local minimum vs absolute minimum?

An absolute minimum, also called a global minimum, occurs when a point of the function is lower than any other point on the function within the function’s domain. A local minimum, also called a relative minimum, occurs when a point is lower than the points surrounding it.

## What is local maximum and absolute minimum?

What Is the Difference Between Local Maxima and Absolute Maxima? The local maximum is a point within an interval at which the function has a maximum value. The absolute maxima is also called the global maxima and is the point across the entire domain of the given function, which gives the maximum value of the function.

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