f(x) = x2 - 3; [5, 7]

Question

Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement.

Answer 1

Average rate of change is just change of y over change of x, no real calculus required.  In calculus, you will eventually find the instantaneous rate of change, which typically will require calculate techniques.  

 

Here though you just want:

 

• [f(7)-f(5)]/(7-5)
• (46-22)/2
• 24/2
• 12