Question

The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter your answer in the box.

Answer 1

By definition we have that the average rate of change is given by:
 AVR = (f (x2) - f (x1)) / (x2 - x1)
 Substituting the values we have:
 AVR = (204 - (-6)) / (10 - 0)
 Rewriting we have:
 AVR = (204 + 6) / (10 - 0)
 AVR = 210/10
 AVR = 21
 Answer:
 the average rate of change for f (x) from x = 0 to x = 10 is:
 AVR = 21