Extrapolation and Interpolation Concepts

Mr. Barnes explains how to estimate values from graphs using interpolation and extrapolation. He provides examples of both methods, demonstrating how to find values within and beyond existing data points. The video includes a real-world application involving a jogging scenario to illustrate these concepts.

What are the two main concepts discussed in the video?

• Addition and Subtraction

• Multiplication and Division

• Extrapolation and Interpolation

• Integration and Differentiation

What is the y-value when x equals 4 in the graph example?

• 2

• 3

• 4

• 5

In the interpolation example, what is the estimated y-value when x is 5.1?

• 4.5

• 3.6

• 3.0

• 4.0

What is the process of estimating a value within two known values on a graph called?

• Extrapolation

• Interpolation

• Approximation

• Calculation

What is the estimated y-value when x is 5.1 in the interpolation example?

• 3.2

• 3.4

• 3.6

• 3.8

In the interpolation example, what is the process of estimating a value between two known points called?

• Extrapolation

• Approximation

• Interpolation

• Calculation

What is the estimated y-value when x is 5.1 in the interpolation example?

• 3.8

• 3.7

• 3.6

• 3.5

In the interpolation example, what is the process of estimating a value between two known points called?

• Calculation

• Extrapolation

• Interpolation

• Approximation

What is the estimated y-value when x is 5.1 in the interpolation example?

• 3.6

• 3.7

• 3.4

• 3.5

In the interpolation example, what is the process of estimating a value between two known points called?

• Extrapolation

• Approximation

• Calculation

• Interpolation