Question

Find the average rate of change for problems 1-3: X. X^2+7 2. 11 3. 16 4. 23 5. 32 6. 43 1) what is the average rate of change between x=2 and x=5 2) what is the average rate of change between x=3 and x=6 3) what is the average rate of change between x=2 and x=4

Answer 1

2 . 4 . 8 .

Explanation:

increases

Answer 2

(1)7 (2)9 (3)6

Explanation:

`\left|\begin{array}cX&f(X)=X^2+7\\--&-----\\2&11\\3&16\\4&23\\5&32\\6&43\end{array}\right|`

(1)The average rate of change between x=2 and x=5

`(dy)/(dx) =(f(5)-f(2))/(5-2) =(32-11)/(3) =(21)/(3) =7`

(2)The average rate of change between x=3 and x=6

`(dy)/(dx) =(f(6)-f(3))/(6-3) =(43-16)/(3) =(27)/(3) =9`

(3)The average rate of change between x=2 and x=4

`(dy)/(dx) =(f(4)-f(2))/(4-2) =(23-11)/(2) =(12)/(2) =6`