Question

Please help:The graph shows the function f (x).What is the function's average rate of change from x = 6 to x = 10?Enter your answer in the box. __A parabola graphed on a coordinate plane. The horizontal x-axis ranges from 0 to 20 in increments of 1. The y-axis ranges from 0 to 20 in increments of 1. The vertex is located at begin ordered pair 6 comma 1 end ordered pair. The parabola opens upward. It passes through begin ordered pair 0 comma 19 end ordered pair and begin ordered pair 12 comma 19 end ordered pair and exits the first quadrant.

Answer 1

we have that

The average rate of change is equal to

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

where

a=6

b=10

f(a)=f(6)=1 ----> look at the graph

f(b)=f(10)=9 --> look at the graph

substitute given values

$\frac{9-1}{10-6}=\frac{8}{4}=2$

The answer is 2