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macycubiottioqxgj5 macycubiottioqxgj5
  • 03-02-2020
  • Mathematics
contestada

What is the average rate of change of the function f(x) =2^x from x=0 to x=2?

A. 1
B. 3/2
C. 4
D. 2/3

What is the average rate of change of the function fx 2x from x0 to x2 A 1 B 32 C 4 D 23 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-02-2020

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 0, 2 ]

f(b) = f(2) = 2² = 4

f(a) = f(0) = [tex]2^{0}[/tex] = 1, thus

average rate of change = [tex]\frac{4-1}{2-0}[/tex] = [tex]\frac{3}{2}[/tex] → B

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