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What is the average rate of change for this quadratic function for the intervalfrom x = 0 to x = 2?y5X-55-5

What Is The Average Rate Of Change For This Quadratic Function For The Intervalfrom X 0 To X 2y5X555 class=

Sagot :

Explanation

The question wants us to determine the average rate of change for the given quadratic function

To do so, we will use the formula below

[tex]Average\text{ rate=}\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

in our case

[tex]\begin{gathered} x_1=0 \\ x_2=2 \end{gathered}[/tex]

So our next step will be to find

[tex]\begin{gathered} f(x_2)\text{ } \\ and \\ f(x_1) \\ \end{gathered}[/tex]

From the graph

So that

[tex]\begin{gathered} f(x_1)=f(0)=-6 \\ f(x_2)=f(2)=0 \end{gathered}[/tex]

Thus

[tex]Average\text{ rate=}\frac{0-(-6)}{2-0}=\frac{0+6}{2}=\frac{6}{2}=3[/tex]

Therefore, the average rate is 3

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