use the graph to answer the question. what is the average rate of change from ( x = 3 ) to ( x = 11 )? -8 (…

use the graph to answer the question. what is the average rate of change from ( x = 3 ) to ( x = 11 )? -8 ( -\frac{1}{8} ) ( \frac{1}{8} ) 8

use the graph to answer the question. what is the average rate of change from ( x = 3 ) to ( x = 11 )? -8 ( -\frac{1}{8} ) ( \frac{1}{8} ) 8

Answer

Explanation:

Step1: Find the values of (y) at (x = 3) and (x=11)

From the graph, when (x = 3), (y=7) (approximate value, since at (x = 3) the (y -) value is on the horizontal segment starting from (x = 4) where (y = 7)). When (x = 11), (y = 8)

Step2: Use the average - rate - of - change formula

The formula for the average rate of change of a function (y=f(x)) from (x=a) to (x = b) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 3), (b = 11), (f(a)=7), (f(b)=8). Then (\frac{f(11)-f(3)}{11 - 3}=\frac{8 - 7}{8}=\frac{1}{8})

Answer:

(\frac{1}{8}) (the third option)