Скачать или смотреть Function Without A Max or Min, With Holes, Really Understanding What's Going

In this video, we explore the concept of a function without a max or min, specifically when there are holes in the function. We start by drawing a function on a vertical and horizontal axis, with a hole located at a specific point. This means that the value of y at that point is not part of the range of the function. Even if we count the values and make it somewhat reasonable, there are infinitely many intermediate values between the hole and the nearest y-value.

We go on to list a few of these intermediate values, such as 10.9, 10.99, and 10.999. We can get as close as we want to the y-value without ever reaching it, meaning there is no max y-value in this situation.

We then continue the function down to another hole located at y=4, which is essentially y=positive 4. Again, we can go through all the intermediate values between the hole and the nearest y-value without ever reaching it. Even if we zoom in and choose a value that seems to be the lowest, we can always get closer by adding more zeroes to the end of the string of numbers.

It's important to keep in mind that the thickness of the function on the screen can distort our perspective of what the math is really telling us. In conclusion, a function with holes does not have a max y-value or a minimum value.

If you want to gain a deeper understanding of how holes affect a function, make sure to watch the video and leave a like if you find it helpful!

🔍 Keywords function, holes, max y-value, minimum value, intermediate values, range of a function, vertical axis, horizontal axis, math, perspective

📈 Tags #function #holes #maxyvalue #minimumvalue #math #rangeofafunction #perspective

🤔 Common Questions

1️⃣ What is a function without a max or min?
A function without a max or min means that there is no highest or lowest y-value in the function.

2️⃣ What are holes in a function?
Holes in a function refer to points on the function where the value of y is not part of the range of the function.

3️⃣ Can a function have multiple holes?
Yes, a function can have multiple holes.

4️⃣ What are intermediate values in a function?
Intermediate values in a function refer to the values between two y-values on the function.

5️⃣ How do holes affect the range of a function?
Holes affect the range of a function by excluding the values of y at the hole from the range of the function.

6️⃣ Why is it important to understand the concept of a function without a max or min?
Understanding the concept of a function without a max or min can help deepen our understanding of the behavior of functions with holes.

7️⃣ Can a function have a max or min if it has holes?
No, a function with holes does not have a max or min value.

8️⃣ How do you find the range of a function with holes?
To find the range of a function with holes, you need to identify the holes and exclude the y-values at those points from the range.

9️⃣ Can you graph a function with holes?
Yes, you can graph a function with holes by representing the holes as empty circles on the graph.

🔟 How do you know if a point on a function is a hole?
A point on a function is a hole if the value of y at
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Understanding what really happens when a function has no maximum or minimum value. In this video, we see a function with holes at both ends. The holes on the graph are needed to really understand why a function might not have a maximum or minimum value.
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