Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b [ = [ 2, 6 ]
From the table
f(b) = f(6) = 19 and f(a) = f(2) = 13, thus
average rate of change = [tex]\frac{19-13}{6-2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
