I need help on delta

Question

The function y=f(x)y=f(x) is graphed below. Plot a line segment connecting the points on ff where x=−1x=−1 and x=0.x=0. Use the line segment to determine the average rate of change of the function f(x)f(x) on the interval −1≤x≤0.−1≤x≤0.

Answer 1

The average rate of change is the slope of the straight line segment connecting the points (-1,f(-1)) and (0,f(0)). Use the slope formula:

slope = (y₂-y₁) / (x₂-x₁) = (f(0)-f(-1)) / (0-(-1))

Just plug in the values of f(-1) and f(0) from your graph.