The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Right Hand Sum Approximation, using the intervals between those given points.

Question

x 10 12 15 19 20
f(x) –2 –5 –9 –12 –16

Answer 1

using the right-hand sums, we get

(12-10)(-5) + (15-12)(-9) + (19-15)(-12) + (20-19)(-16) = -101

Now, the average is just the sum/4

Answer 2

my bad - average = sum/(20-10)