The function f(x) has an average rate of change on the interval -2≤x≤3 of 17/5. If f(-2)=9 then which of the following is the value of f(3)?

(1)12.4
(2)17
(3)21.8
(4)26

The function fx has an average rate of change on the interval 2x3 of 175 If f29 then which of the following is the value of f3 1124 217 3218 426 class=

Respuesta :

Answer:

f(3) = 26

Step-by-step explanation:

Average rate of change of a function on an interval is;

f(a) - f(b)/(a-b)

Here, we want to find the value of f(-3)

To find the average rate of change on the given interval;

we have;

f(3) - f(-2)/3-(-2) = 17/5

f(3)-9/5 = 17/5

Since denominator is same, we equate numerator;

f(3)-9 = 17

f(3) = 17 + 9

f(3) = 26