chelsealynnmix chelsealynnmix
  • 19-02-2020
  • Mathematics
contestada

What is the average rate of change of the function f(x)= x^2 -3 from x=1 to x=2?

What is the average rate of change of the function fx x2 3 from x1 to x2 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 19-02-2020

Answer:

3

Step-by-step explanation:

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

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

Here [ a, b ] = [ 1, 2 ]

f(b) = f(2) = 2² - 3 = 4 - 3 = 1

f(a) = f(1) = 1² - 3 = 1 - 3 = - 2, thus

average rate of change = [tex]\frac{1-(-2)}{2-1}[/tex] = 3

Answer Link
amna04352
amna04352 amna04352
  • 19-02-2020

Answer:

3

Step-by-step explanation:

Average rate of change

= [f(2)-f(1)] ÷ (2-1)

= [(2²-3) - (1²-3)] ÷ 1

= (4-3) - (1-3)

= 1 - (-2)

= 1 + 2

= 3

Answer Link

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