Find the average rate of change of a function over a given interval.


Consider the function h, which is defined over all real numbers. The function table below shows the function values of h for inputs between minus, 5 and 5.
What is the average rate of change of h over the interval open bracket, 1, comma, 2, close bracket?
Give an exact number.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
Over which interval does h have a positive average rate of change?
Please choose from one of the following options.
xminus, 5minus, 4minus, 3minus, 2minus, 1012345
h, left parenthesis, x, right parenthesis6420minus, 1minus, 2minus, 30369