For what polynomials f is it true that the square of the average value of f equa

Question

For what polynomials f is it true that the square of the average value of f equals the average value of the square of f over all itervals e.b)? Choose the correct answer below. 0 A. O B. C. 0 D. This is true for all polynomials of the form f(x)-c, where c is any real number. This is true for all polynomials of the form f(x)-ax+b, where a and b are any real number This is true for all polynomials. This is not true for any polynomial. Click to select your answer and then click Check Answer lear Al

Explanation / Answer

(A) option is true .

f(x) = c

average value of f on [a, b] is = (f(b) -f(a))/(b-a) = (c - c)/(b-a) = 0

and its square is also zero always.

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