Question:
Solution:
Let the following function:
[tex]f(x)=(x+10)^{\frac{1}{3}}-2[/tex]Notice that:
[tex]f(x_1)=f(-9)=(-9+10)^{\frac{1}{3}}-2\text{ = -1}[/tex]and
[tex]f(x_2)=_{}f(-2)=(-2+10)^{\frac{1}{3}}-2\text{ = }0[/tex]thus the average rate is given by the following formula:
[tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}\text{ = }\frac{0-(-1)}{-2\text{ +9}}=\text{ }\frac{1}{7}[/tex]then, the correct answer is:
[tex]\frac{1}{7}[/tex]
