MoayadP309537 MoayadP309537
  • 03-11-2022
  • Mathematics
contestada

Find the average rate of change of the functionf (x) = 3x2 + 4x – 5over the interval [0,h], where h is a positive real number.

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KahlynB749838 KahlynB749838
  • 03-11-2022

The average rate of change of the function over the interval (0, h) is

[tex]\frac{f(h)-f(0)}{h-0}=\frac{f(h)-f(0)}{h}[/tex]

Now,

[tex]f(h)=3h^2+4h-5[/tex]

and

[tex]f(0)=-5[/tex]

Therefore, the average rate of change is

[tex]\frac{3h^2+4h-5-5}{h}=\textcolor{#FF7968}{\frac{3h^2+4h-10}{h}.}[/tex]

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