Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 1 ]
f(b) = f(1) = 3 ← value of y when x = 1
f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1
average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]
