How do you find the average rate of change of f(x)=6x^2+1f(x)=6x2+1 over points (2, 25) and (3, 55)?

1 Answer
marfre
Jul 3, 2018

Average rate of change = 30/1=301

Explanation:

Given: f(x) = 6x^2 + 1f(x)=6x2+1. Find the average rate of change from (2, 25)(2,25) and (3, 55)(3,55).

The average rate of change for a linear function is it's slope. When the function is not linear, the average rate of change is the slope between the two points.

Average rate of change = (f(b) - f(a))/(b - a)=f(b)−f(a)b−a

Let a = 2 => f(a) = 25; " "b = 3 => f(b) = 55a=2⇒f(a)=25; b=3⇒f(b)=55

Average rate of change = (55 - 25)/(3 - 2) = 30/1=55−253−2=301

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