Question

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 4]?

x f(x)
-6 27
-3 6
-1 2
0 3
1 6
4 27

Answer 1

is this for physics

Answer 2

The average rate of change of the function \(f\) over \([a,b]\) is given by \[\dfrac{f(a)-f(b)}{a-b}\]

Answer 3

okay how do i find fa and fb? do i just test the numbers from the chart?

Answer 4

f(a)=f(-3)=6
f(b)=f(4)=27
b-a=4-(-3)=4+3=7
f(b)=27
f(a)=6
average rate of change=\[\frac{ f(b)-f(a) }{ b-a }\]=?

Answer 5

Substitute the values in the formula and compute

Answer 6

the average rate of change is like finding the slope over the specified period of change

Answer 7

can you close now or do you still have a question?