Power Model Functions

2 Types of Power Model Functions:

Direct Variation Models:

y = ax^2

y = ax^3

y = ax^n , where n is any positive number

As the value of 'a' gets closer to zero the graph becomes wider.
As the value of 'a' gets farther from zero the graph becomes more narrow.


Inverse Variation Models:

y = ax^-2 = a/x^2

y = ax^-3 = a/x^3

y = ax^-n , where n is any negative number
Or y = a/x^n, where n is any positive number

As the value of 'a' gets closer to zero the graph becomes more narrow.
As the value of 'a' gets farther from zero the graph becomes wider.