The rate of change between F and G is 5, while the rate of change between G and H is 3, so we conclude that the rate of change between F and G is larger.
How to get the rates of change for the parabola?
For a given function f(x), the rate of change on an interval (a, b), where a < b, is given by the simple formula:
R = (f(b) - f(a))/(b - a)
Now, on the graph of the parabola we can see that the important points are:
- F = (-3, -5) ⇒ f(-3) = -5
- G = (-2, 0) ⇒ f(-2) = 0
- H = (-1, 3) ⇒ f(-1) = 3
Then, the rate of change between points F and G is:
R = (0 - (-5))/(-2 - (-3)) = 5/1 = 5
the rate of change between points H and G is:
R = (3 - 0)(-1 - (-2)) = 3/1 = 3
We can see that the rate of change is larger between F and G than between G and H.
If you want to learn more about rates of change:
brainly.com/question/8728504
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