What is the max and min of a horizontal line on a closed interval

The video tutorial discusses graph analysis, focusing on understanding maximum and minimum values within closed intervals. It explains the importance of continuity and closed intervals in determining maximums and minimums, using examples to illustrate these concepts. The tutorial emphasizes that a maximum occurs when no value is greater, and a minimum occurs when no value is lower, within the specified interval.

What is a key requirement for determining maximum and minimum values on a graph?

• Having a discontinuous function

• Having open intervals

• Having only positive values

• Having a continuous function and closed intervals

What condition must be met for a function to have a maximum value?

• The maximum value must be less than all other values

• There must be a value greater than the maximum

• The maximum value should be at the midpoint of the interval

• No value should be greater than the maximum within the interval

In the context of the video, what is the maximum value of the function?

• -2

• 4

• 0

• 2

What condition must be met for a function to have a minimum value?

• There must be a value lower than the minimum

• No value should be lower than the minimum within the interval

• The minimum value should be at the midpoint of the interval

• The minimum value must be greater than all other values

In the context of the video, what is the minimum value of the function?

• -2

• 0

• -4

• 2