Question

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

Answer 1

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

Answer 2

$\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}$

$\\ \sf\longmapsto f(x)=3x^3-1$

$\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191$

$\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23$

Average change

$\\ \sf\longmapsto \dfrac{192-23}{4-2}$

$\\ \sf\longmapsto \dfrac{168}{2}$

$\\ \sf\longmapsto 84$