Question

The average rate of exchange.
show your work

f(x)=3^(x)+17

x=3 x=6

Answer 1

`\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 3^x+17 \quad \begin{cases} x_1=3\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(3)}{6 - 3}\implies \cfrac{[3^6+17]~~ - ~~[3^3 +17]}{3} \\\\\\ \cfrac{746~~ - ~~44}{3}\implies \cfrac{702}{3}\implies \text{\LARGE 234}`