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If f(x) =-|x| + 9. Then range of f(x) is

Option: 1

[9,\infty)


Option: 2

(9,\infty)


Option: 3

(-\infty,0)


Option: 4

(-\infty,0]


Answers (1)

best_answer

We can find range of |x| by simple manipulation

As 0 ≤ |x| < ∞

Multiplying all 3 sides by (-1)

- ∞ < -|x| ≤ 0

Now, adding 9 to all 3 sides

- ∞ < -|x| + 9 ≤ 9

So, range is (- ∞, 9]

Posted by

himanshu.meshram

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