Precalculus with Limits: A Graphing Approach, Sixth Edition
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Precalculus with Limits: A Graphing Approach, Sixth Edition View details
6. Nonlinear Models
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Exercise 1 Page 238

Recall the general form of a power function.

y=ax^b

We are asked to complete the given statement.

A power model has the form .

Let's consider the following scatter plot.
scatter plot

Sometimes, the data can be modeled by a power function y= ax^b. The example scatter plot can be modeled by y= 0.3x^3.

scatter plot modeled by a cubic function

This model is called the power model because it describes a mathematical relationship where one variable is proportional to a power of another variable. This model is commonly used in physics or economics capturing nonlinear relationships like scaling. We can now complete the given statement.

A power model has the form y=ax^b.