Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval. tiles: f(x) = x2 + 3x interval: [-2, 3] f(x) = 3x - 8 interval: [4, 5] f(x) = x2 - 2x interval: [-3, 4] f(x) = x2 - 5 interval: [-1, 1]

By definition, the average change of rate is given by:
 
 We will calculate AVR for each of the functions.
 We have then:

 f(x) = x^2 + 3x interval: [-2, 3]:
 
 
 
 

 f(x) = 3x - 8 interval: [4, 5]:
 
 
 
 

 f(x) = x^2 - 2x interval: [-3, 4]
 
 
 
 

 f(x) = x^2 - 5 interval: [-1, 1]
 
 
 
 

 
 these functions from the greatest to the least value based on the average rate of change are:
 f(x) = x^2 + 3x
 f(x) = 3x - 8
 f(x) = x^2 - 5
 f(x) = x^2 - 2x