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Sagot :
The rate of change of a function is the increase or decrease that a function experiences as the independent variable changes from one value to another.
The corresponding equation of the average rate of change is:
[tex]TVM(x_1,x_2)=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]In this case, x1 is 3 and x2 is 3
Remember that according to the notation of the limits, they take the values of 2 and 3.
Now, we solve f(3) and f(2)
[tex]\begin{gathered} f(3)=3^2-2\cdot(3)+4 \\ f(3)=9-6+4 \\ f(3)=7 \end{gathered}[/tex][tex]\begin{gathered} f(2)=2^2+2\cdot(2)+4 \\ f(2)=4-4+4 \\ f(2)=4 \end{gathered}[/tex]This way now we can replace the values in the TVM equation and I will solve this.
[tex]\begin{gathered} TVM(3,2)=\frac{7-4}{3-1_{}} \\ TVM(3,2)=\frac{3}{1}=3 \end{gathered}[/tex]In conclusion, the average rate of change of the function
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