Question

Which of the following is the average rate of change over the interval [-3, 0] for the function g(x) = log₂(x + 4) - 5? (2 points)

O
337
O 1
03/13
O 3
2
WIN

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\\\\ g(x)= \log_2(x+4) \qquad \begin{cases} x_1=-3\\ x_2=0 \end{cases}\implies \cfrac{g(0)-g(-3)}{0 - (-3)}\implies \cfrac{2-0}{3}\implies \cfrac{2}{3}`