1 7 5 Average Value of a Function Goal To find the average value of a function f on a given interval a b Average of n values Derivation of formula for average value of a function Geometric Interpretation 1 Examples Find the average value of f x x from x 0 to x 4 The electric current in a household power supply is an alternating current modeled by i t I sin t a Show that the average value of i over one period is 0 b The root mean square rms current is the square root of the average value of i2 over one period Calculate the rms current 2 On Beyond Average The graph of a function f on the interval 0 x 1 is shown below If possible determine whether 3 3 3 favg favg or favg Clearly explain your reasoning 2 2 2 3
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