### 1 video in "Linear Approximations"

## Linear approximation with interpolation

Linear approximation with interpolation

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Part of video series Linear Relationships / Functions / Models

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Understand clearly that ANY relationship can be modeled linearly if one restricts the domain enough.

- Notes - Notes from this lesson.
- 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

- 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?

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.