The function f (x) = -3x + 12 on R.is
decreasing
increasing
neither increasing or decreasing
strictly decreasing
Let 1, 2εR and 1 < 2. Then,
1 < 2
→ -31 > - 32
- 31 + 12 > -32 + 12
(1) > (2)
Thus, 1, < 2 → (1) > (2) for all 1, 2 ε R.
So, () is strictly decreasing function on R.
The function f (x) = x3 – 8 on [1, 2] is
The function f (x) = ax, 0 < a < 1 is