Linear approximation with interpolation
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Part of video series
Lesson Description:
Understand clearly that ANY relationship can be modeled linearly if one restricts the domain enough.
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Additional Resources:
- Linear Interpolation - An explanation of what linear interpolation is and how it is done.
- Zooming in on cartesian graphs - Zoom into a Cartesian graph of a function and see it looks linear if you look close enough
- Notes - Notes from this lesson.
Questions answered by this video:
- What is linear approximation?
- What is linear interpolation?
- How can you do linear interpolation to approximate the value of a non-linear function by using linear approximation in a small interval of the function?
- How can you zoom in closely to the graph of a function until it looks like a line?
- How can you do linear interpolation between the points (4, 175) and (7, 200) to approximate the value when the input is 5?
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Staff Review
This lesson will show you how any relationship / function can be approximated / modeled with a linear function in certain restrictions of the domain. You will learn to do interpolation to approximate a value at a certain input using a linear relationship in a very small subset of the function.
