A logarithmic function, h, is plotted on the graph. What is the approximate rate of change of this function on the interval [-2,2]?
![A logarithmic function h is plotted on the graph What is the approximate rate of change of this function on the interval 22 class=](https://us-static.z-dn.net/files/dee/ca6e4cf2851b7e74529434d2faf0dba3.jpg)
Answer:
C: - 9/8
Step-by-step explanation:
interval: -2 ≤ x ≤ 2
Find 2 coordinate points on the graph where x = -2 and x = 2:
(-2, 2) and (2, -2.5)
Let [tex](x_1,y_1)[/tex] = (-2, 2) and [tex](x_2,y_2)[/tex] = (2, -2.5)
rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-2.5-2}{2+2} =\frac{-4.5}{4}=-\frac{9}{8}[/tex]