anonymous one year ago Calculate the average rate of change for the given function, from x=1 to x=4 X F(x) -1 0 1 4 4 10 A. -1/2 B.1/2 C.-2 D.2

1. anonymous

the average rate of change on an interval [a,b] is given by$f(b)-f(a)/b-a$

2. anonymous

This function is on the interval- [1,4] therefore it is$f(4)-f(1)/4-1$

3. anonymous

f(4) = 10 and f(1) = 4 $(10-4)/3 \rightarrow 6/3 \rightarrow 2$

4. anonymous

Therefore D is the right answer

5. anonymous