Question

Find the average rate of change for fx) = x2 – 3x – 10 from x = 4 to x = 6.

Answer 1

7

Explanation:

The rate of change is defined as

f(x2) - f(x1)

--------------------

x2-x1

x2 = 6

f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8

x1 = 4

f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6

Substitute the values into the expression

8 - -6

--------------------

6-4

8+6

------------

2

14/2= 7