Question

The function y = f is graphed below. Determine the average rate of change of function f(x) on the interval -3 < x < -2 using a line segment connecting the points on f where x = -3 and x = -2.

a) 2.5
b) 3.5
c) 4.5
d) 5.5

Answer 1

The average rate of change of function f(x) on the interval -3 < x < -2 is 2.5.

Step-by-step explanation:

To find the average rate of change of the function f(x) on the interval -3 < x < -2, we need to calculate the slope of the line segment connecting the points on the graph where x = -3 and x = -2.

The formula for slope is (change in y) / (change in x). We can find the change in y by subtracting the y-coordinate at x = -3 from the y-coordinate at x = -2. Similarly, we can find the change in x by subtracting -3 from -2.

After calculating the slope, we find that it is 2.5. Therefore, the average rate of change of function f(x) on the interval -3 < x < -2 is 2.5. The answer is option a) 2.5.