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Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1

Sagot :

Mhanifaidn

Answer:

  • 84

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

  • [f(4) - f(2)]/(4 - 2) =
  • (3*4³ - 1 - 3*2³ + 1)/2 =
  • 168/2 =
  • 84

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

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