Question

Help!!!
Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval
F(x)=x^2+3x [-2,3]
F(x)=3x-8 [4,5]
F(x)=x^2-2x [-3,4]
F(x)=x^2-5 [-1,1]

Answer 1

First find the average rates of change for each function.

For a given interval \([a,b]\), the average rate of change of a continuous function \(f(x)\) is given by
\[\text{average rate of change}=\frac{f(b)-f(a)}{b-a}\]
(i.e. the slope of the secant line connecting the points \((a,f(a))\) and \((b,f(b))\)).

Answer 2

Is your name reffering to the band? And I was going to answer your quest but noticed that someone else had answered it. 😩

Answer 3

yes it is. and i didnt understand their answer. i got it figured out though.