Question

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

Answer 1

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