Graphing Cubic Root Functions

The video tutorial explains how to model storm severity using a cubic root function, F(X) = (X - 1)^(1/3) + 3, where F(X) represents wind speed and X is the storm's severity on a scale of 1 to 10. It covers the basics of cubic roots, including examples, and demonstrates how to graph these functions using a T chart. The tutorial also explores graphing negative cubic root functions and their reflections. Finally, it applies the model to determine the wind speed for a storm with a severity level of 5, emphasizing the importance of graph accuracy.

What is the relationship between wind speed and storm severity in the given model?

• Wind speed is directly proportional to storm severity.

• Wind speed is inversely proportional to storm severity.

• Wind speed is modeled as the cubic root of storm severity minus one, plus three.

• Wind speed is modeled as the square root of storm severity.

Which of the following is a correct example of a cubic root?

• The cubic root of 8 is 3.

• The cubic root of 27 is 4.

• The cubic root of 1 is 2.

• The cubic root of 64 is 4.

What is the result when graphing the function negative the cubic root of X?

• The graph is shifted upwards.

• The graph is a reflection over the X-axis.

• The graph is shifted downwards.

• The graph is a reflection over the Y-axis.

When graphing F(x) = ∛(x - 1) + 3, what is the Y-coordinate when X is 1?

• 4

• 3

• 1

• 0

If the storm severity is 5, what is the approximate wind speed according to the graph?

• 5 nautical mph

• 6 nautical mph

• 4 and 2/3 nautical mph

• 4 nautical mph