Find the average rate of change of fx 3x2 1 From 2 to 0 Fr

Find the average rate of change of f(x) = 3x^2 + 1: From -2 to 0 From 4 to 6 From 1 to 4 From -2 to 0

Solution

f(x)=3x² +1

average rate of change from a to b = [f(b)-f(a)]/(b-a)

a)from -2 to 0

average rate of change = [(3*0² +1)-(3(-2)² +1)]/(0-(-2))

average rate of change = [(1)-(12 +1)]/(2)

average rate of change = -6

b)

from 4 to 6

average rate of change = [(3*6² +1)-(3(4)² +1)]/(6-4)

average rate of change = [60]/(2)

average rate of change = 30

c)

from 1 to 4

average rate of change = [(3*4² +1)-(3(1)² +1)]/(4-1)

average rate of change = [(48+1)-(3 +1)]/(3)

average rate of change = 45/3

average rate of change = 15