Question

Please help me I need to submit this asap

Answer 1

Answer:

D

Step-by-step explanation:

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

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

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = $\frac{1}{2}$ ← from (- 1, $\frac{1}{2}$ ) , thus

average rate of change = $\frac{4-\frac{1}{2} }{2-(-1)}$ = $\frac{\frac{7}{2} }{3}$ = $\frac{7}{6}$ → D