Question

Find the average value of the function y = 2x4 over the interval [- 2,2].

Answer 1

Answer:

ave. val. = -------------- = 0

Step-by-step explanation:

That's y = 2x^4 (the ^ symbol indicates exponentiation).

The average value of a function f(x) over the interval [a, b] is

                    f(b) - f(a)  

ave. val. = ----------------

                       b - a

Here a = -2, b = 2 and f(x) = 2x^4.  Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and

the average value is:

                  32 - 32

ave. val. = -------------- = 0

                     2 - (-2)