The graph shows the function f(x). Which value is closest to the average rate of change from x = 1 to x = 4?A.−3.5​ B.−2.3​​ C. −1.4​​D .−0.3

Answer:Option B is correct-2.3Step-by-step explanation:Average rate of change(A(x)) for the function f(x) over the interval [a, b] is given by:[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]           ....[1]We have to find the  average rate of change from x = 1 to x = 4.From the graph as shown belowFor x = 1f(1) = 3andFor x = 4f(4) = -3.9Using [1] we have;[tex]A(x) = \frac{f(4)-f(1)}{4-1}[/tex] Substitute the given values we have;[tex]A(x) = \frac{-3.9-3}{3}[/tex]⇒[tex]A(x) = \frac{-6.9}{3}[/tex]Simplify:[tex]A(x) = -2.3[/tex]Therefore, -2.3  value is closest to the average rate of change from x = 1 to x = 4