christiaanderson20
christiaanderson20 christiaanderson20
  • 21-04-2020
  • Mathematics
contestada

how to find the average rate of change for f(x)=2^x;[2,4]​

Respuesta :

freckledspots freckledspots
  • 21-04-2020

Answer:

6

Step-by-step explanation:

The average rate of change over the interval [tex][a,b][/tex] for a function [tex]f[/tex] is [tex]\frac{f(b)-f(a)}{b-a}[/tex].

So the average rate of change for [tex]f(x)=2^x[/tex] on [tex][2,4][/tex] is:

[tex]\frac{2^4-2^2}{4-2}=\frac{16-4}{2}=\frac{12}{2}=6[/tex].

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