desyrew desyrew
  • 16-03-2022
  • Mathematics
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consider the function given by f(x)=x^2+3. find its average rate of change from x=-1 to x=3

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ganjilaya2019
ganjilaya2019 ganjilaya2019
  • 18-03-2022

Answer:

2

Step-by-step explanation:

f(-1) = (-1)² + 3 = 1 + 3 = 4

f(3) = 3² + 3 = 9 + 3 = 12

average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =

(12-4)÷(4) = 8÷4 = 2

the average rate of change is the slope of the drawn green line .

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