Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

Therefore D is the right answer

Answer 5

this should help you out. http://bosscade.com/c?r=CKUEDE4sd

Answer 6

Thank you so much @whoperman28