etermine the average rate of change over the interval negative 1 less-than-or-equal-to x less-than-or-equal-to 1 of the exponential function whose graph is shown below.
A curved line passes through a coordinate plane.The line passes through left-parenthesis negative 1 comma negative 8 right-parenthesis, left-parenthesis zero comma negative 4 right-parenthesis, left-parenthesis 1 comma negative 2 right-parenthesis, and left-parenthesis 2 comma negative 1 right-parenthesis.
(1 point)
Responses
negative 6
Image with alt text: negative 6
negative 3
Image with alt text: negative 3
3
3
6
6
To find the average rate of change over the interval -1 ≤ x ≤ 1, we need to calculate the slope of the line passing through the points (-1, -8) and (1, -2).
The slope formula is (change in y)/(change in x):
slope = (-2 - (-8))/(1 - (-1))
slope = (-2 + 8)/(1 + 1)
slope = 6/2 = 3
Therefore, the average rate of change over the interval -1 ≤ x ≤ 1 is 3.