Question

02.07 MC)

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

3 over 7
5 over 7
7 over 3
7 over 5

Answer 1

3/7

Explanation:

`g(-2)=\log_(2)(1)-4=-4 \\ \\ g(5)=\log_(2)(8)-4=-1 \\ \\ (g(5)-g(-2))/(5-(-2))=(-1-(-4))/(5-(-2))=(3)/(7)`