ArgeliaY374412 ArgeliaY374412
  • 29-10-2022
  • Mathematics
contestada

What is the average rate of change of the function f(x) = x^2 + 3x - 10 on the interval fromx= 0 to x = 2?

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EmpressU124324 EmpressU124324
  • 29-10-2022

We will determine the average rate of change for the expression as follows:

[tex]f(x)=x^2+3x-10[/tex]

*First: We replace the values and solve for f(0) & f(2), that is:

*x = 0:

[tex]f(0)=-10[/tex]

*x = 2:

[tex]f(2)=0[/tex]

*Secon: We determine the average rate of change:

[tex]r=\frac{0-(-10)}{2-0}\Rightarrow r=5[/tex]

So, the average rate of change is 5.

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