Question

Which is the rate of change for the interval between 3 and 6 on the x-axis? 0-2

Answer 1

Image is missing, so i have attached it.

Answer:

Rate of change = 2

Step-by-step explanation:

From the image attached, we are given a parabola which opens upwards with many points marked on the curve.

We are asked to find the rate of change for the interval between 3 and 6 on the x axis.

Now, rate of change of any function f(x) from a to b is given by the formula ;

Rate of change = [f(b) - f(a)]/(b - a)

For this question, a = 3 and b = 6

f(3) is simply the y-value when x is 3. On the graph, f(3) = -2

Similarly,f(6) = 4

Thus;

Rate of change = [4 - (-2)]/(6 - 3)

Rate of change = 6/3

Rate of change = 2