Question

The graph shows the function f(x).

What is the function's average rate from x = 7 to x = 11.



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Answer 1

As shown on the graph the 2 points mentioned have the following coordinates:

A(7,19) & B(11,11), That is A(x₁,y₁) & B(x₂,y₂)

the rate of change between A & B is the slope that is equal to:

slope = rate of change = (y₂-y₁) / (x₂-x₁) ==>(11-19) / (11-7) = (-8) / (4)

Rate of change = -2