Calculate the average rate of change of f (x) = x^2/4 - 5 for 3 ≤ x ≤ 5

If you do all the work, you will get 2 which is the answer

2

Step-by-step explanation:

Average rate of change of a function between x=a and x=b is:

[ f (b) - f (a) ] / (b - a)

On the interval 3 ≤ x ≤ 5:

[ f (5) - f (3) ] / (5 - 3)

[ (5²/4 - 5) - (3²/4 - 5) ] / (5 - 3)

(25/4 - 5 - 9/4 + 5) / (5 - 3)

(25/4 - 9/4) / (5 - 3)

(16/4) / 2

2