f(x) = x² + 7x + 10
f(0) = (0)² + 7(0) + 10 = 10 ----> (0, 10)
f(2) = (2)² + 7(2) + 10 = 28 -----> (2, 28)
rate of change is slope: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{28-10}{2-0} = \frac{18}{2}[/tex] = 9
Answer: 9
The average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2 is 9, the correct option is C.
The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.
The average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2.
The average rate of change is determined by the following formula;
[tex]\rm Average \ rate =\dfrac{f(b)-f(a)}{b-a}\\\\ Average \ rate =\dfrac{f(2)-f(0)}{2-0}\\\\ f(2) = (2)^2+7(2)+10=4+14+10=28\\\\ f(2) = (0)^2+7(0)+10= 10\\ \\ Average \ rate =\dfrac{28-10}{2-0}\\\\ Average \ rate =\dfrac{18}{2}\\\\ Average \ rate =9[/tex]
Hence, the average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2 is 9, the correct option is C.
Learn more about the average rate here;
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