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Question

The function f (x) = -3x + 12 on R.is


A

decreasing

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B

increasing

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C

neither increasing or decreasing

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D

strictly decreasing

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Solution

The correct option is D

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.


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