Algebra 2 5-8 Independent Practice: Polynomial Models in the Real World

Vocabulary: Which form of estimation, interpolation or extrapolation, is more reliable?

Reasoning: Is it possible to create a cubic function that passes through (0, 0), (-1, 1), (-2, 2), and (-3, 9)? Explain. You may use the canvas to help illustrate your written response.

Writing: The R² value for a quartic model is 0.94561. The R² value for a cubic model of the same data is 0.99817. Which model seems to show a better fit? Explain.

Reflection: Math Success