multiple choice

Question

determine the average rate of change of the function y=sin(x) from x=0 to x= pi/2
a)0
b)pi/2
c)1
d)2/pi

Answer 1

The average rate of change of a function y = f(x) from x = a to x = b is:

 

                    [f(b) - f(a)]/[b-a]

 

So, for the given function, we have [sin(π/2) - sin0]/[π/2 - 0]

 

                                                = (1-0)/(π/2-0) = 2/π

 

Answer:  (d)