the function ( y = f(x) ) is graphed below. what is the average rate of change of the function ( f(x) ) on…

Explanation:

Step1: Find the values of (f(3)) and (f(4))

From the graph, when (x = 3), (y=f(3)=10); when (x = 4), (y = f(4)=5).

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

The formula for the average rate of change of a function (y = f(x)) on the interval ([a,b]) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 3), (b = 4), (f(a)=f(3)=10), (f(b)=f(4)=5). Substitute into the formula: (\frac{f(4)-f(3)}{4 - 3}=\frac{5 - 10}{1})

Answer:

(- 5)