Question

Can someone answer this

Answer 1

Answer:

$\frac{4}{3}$

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{(b)-f(a)}{b-a}$

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = $\frac{1}{3}$ ← value of y when x = - 1

average rate of change = $\frac{3-\frac{1}{3} }{1-(-1)}$ = $\frac{\frac{8}{3} }{2}$ = $\frac{4}{3}$