Question

How do you find the average rate of change of `f(x)=x^2+3x+4` between x=2 and x=4?

Answer 1

9

Explanation:

The average rate of change can be found using

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

where a and b are the values of the limits.

here a = 2 and b = 4

`f(4) = 4^2 + 3(4) + 4 = 32`

and `f(2) = 2^2 + 3(2) + 4 = 14`

`rArr (f(4) - f(2))/(4 - 2 ) = 18/2 = 9`