Question

Calculate the average rate of change of f(x)=x²-1/x-4 for 2≤x≤6.

Answer 1

3/140 or 0.0214

Explanation:

[f(2) - f(6)] / 2-6

f(2) = -3/2

f(6) = 35/2

-3/2 ÷ 35/2 = -3/2 × 2/35

= -6/70 or -3/35 (simplified)

-3/35 ÷ -4 = -3/35 × -1/4

= 3/140