Question

What is the average rate of change for the quadratic function from x=-1 to x=4?

Answer 1

Answer:

1

Step-by-step explanation:

f(x) = x^2 - 2x - 4

when x = -1, f(-1) = (-1)^2 - 2(-1) - 4 = 1 + 2 - 4 = -1

when x = 4, f(4) = (4)^2 - 2(4) - 4 = 16 - 8 - 4 = 4

The average rate of change from x = -1 to x = 4:

  f(4) - f(-1)          4 - (-1)              5

---------------- = -----------------=   --------  = 1

 x4 - x1               4 - (-1)              5

Answer

The average rate of change = 1