Question

Function G is an exponential function passing through two points

Answer 1

`\begin{gathered} \text{for f(X),} \\ \text{slope form interval 3 to 5 = }\frac{\text{cahnge in f(x) from 3 to 5}}{\text{change in x from 3 to 5}}=\text{ }(71-59)/(5-3)=(12)/(2)=\text{ 6} \\ \\ \text{for g(x), } \\ \text{slope from interval 3 to 5 = }\frac{\text{change in g(x) from 3 to 5}}{\text{chang}e\text{ in x from 3 to 5}}=\text{ }(-41-(-53))/(5-3)\text{ = }(12)/(2)=\text{ 6} \\ \sin ce\text{ both f(x) and g(X) have same slope from 3 to 5, their average rate of change are thesame} \end{gathered}`